diff --git a/R/arx_forecaster.R b/R/arx_forecaster.R
index ad7e5253e..3dc54286e 100644
--- a/R/arx_forecaster.R
+++ b/R/arx_forecaster.R
@@ -99,7 +99,7 @@ arx_forecaster <- function(epi_data,
 #' arx_fcast_epi_workflow(jhu, "death_rate",
 #'   c("case_rate", "death_rate"),
 #'   trainer = quantile_reg(),
-#'   args_list = arx_args_list(quantile_level = 1:9 / 10)
+#'   args_list = arx_args_list(quantile_levels = 1:9 / 10)
 #' )
 arx_fcast_epi_workflow <- function(
     epi_data,
@@ -135,18 +135,18 @@ arx_fcast_epi_workflow <- function(
   f <- frosting() %>% layer_predict() # %>% layer_naomit()
   if (inherits(trainer, "quantile_reg")) {
     # add all quantile_level to the forecaster and update postprocessor
-    quantile_level <- sort(compare_quantile_args(
-      args_list$quantile_level,
-      rlang::eval_tidy(trainer$args$quantile_level)
+    quantile_levels <- sort(compare_quantile_args(
+      args_list$quantile_levels,
+      rlang::eval_tidy(trainer$args$quantile_levels)
     ))
-    args_list$quantile_level <- quantile_level
-    trainer$args$quantile_level <- rlang::enquo(quantile_level)
-    f <- layer_quantile_distn(f, quantile_level = quantile_level) %>%
+    args_list$quantile_levels <- quantile_levels
+    trainer$args$quantile_levels <- rlang::enquo(quantile_levels)
+    f <- layer_quantile_distn(f, quantile_levels = quantile_levels) %>%
       layer_point_from_distn()
   } else {
     f <- layer_residual_quantiles(
       f,
-      quantile_level = args_list$quantile_level,
+      quantile_levels = args_list$quantile_levels,
       symmetrize = args_list$symmetrize,
       by_key = args_list$quantile_by_key
     )
@@ -175,7 +175,7 @@ arx_fcast_epi_workflow <- function(
 #'   The default `NULL` will attempt to determine this automatically.
 #' @param target_date Date. The date for which the forecast is intended.
 #'   The default `NULL` will attempt to determine this automatically.
-#' @param quantile_level Vector or `NULL`. A vector of probabilities to produce
+#' @param quantile_levels Vector or `NULL`. A vector of probabilities to produce
 #'   prediction intervals. These are created by computing the quantiles of
 #'   training residuals. A `NULL` value will result in point forecasts only.
 #' @param symmetrize Logical. The default `TRUE` calculates
@@ -208,14 +208,14 @@ arx_fcast_epi_workflow <- function(
 #' @examples
 #' arx_args_list()
 #' arx_args_list(symmetrize = FALSE)
-#' arx_args_list(quantile_level = c(.1, .3, .7, .9), n_training = 120)
+#' arx_args_list(quantile_levels = c(.1, .3, .7, .9), n_training = 120)
 arx_args_list <- function(
     lags = c(0L, 7L, 14L),
     ahead = 7L,
     n_training = Inf,
     forecast_date = NULL,
     target_date = NULL,
-    quantile_level = c(0.05, 0.95),
+    quantile_levels = c(0.05, 0.95),
     symmetrize = TRUE,
     nonneg = TRUE,
     quantile_by_key = character(0L),
@@ -231,7 +231,7 @@ arx_args_list <- function(
   arg_is_date(forecast_date, target_date, allow_null = TRUE)
   arg_is_nonneg_int(ahead, lags)
   arg_is_lgl(symmetrize, nonneg)
-  arg_is_probabilities(quantile_level, allow_null = TRUE)
+  arg_is_probabilities(quantile_levels, allow_null = TRUE)
   arg_is_pos(n_training)
   if (is.finite(n_training)) arg_is_pos_int(n_training)
   if (is.finite(nafill_buffer)) arg_is_pos_int(nafill_buffer, allow_null = TRUE)
@@ -242,7 +242,7 @@ arx_args_list <- function(
       lags = .lags,
       ahead,
       n_training,
-      quantile_level,
+      quantile_levels,
       forecast_date,
       target_date,
       symmetrize,
diff --git a/R/dist_quantiles.R b/R/dist_quantiles.R
index e94773f8e..bb8810902 100644
--- a/R/dist_quantiles.R
+++ b/R/dist_quantiles.R
@@ -16,7 +16,7 @@ new_quantiles <- function(values = double(), quantile_levels = double()) {
   }
 
   new_rcrd(list(values = values, quantile_levels = quantile_levels),
-           class = c("dist_quantiles", "dist_default")
+    class = c("dist_quantiles", "dist_default")
   )
 }
 
@@ -30,9 +30,8 @@ vec_ptype_full.dist_quantiles <- function(x, ...) "dist_quantiles"
 
 #' @export
 format.dist_quantiles <- function(x, digits = 2, ...) {
-  q <- field(x, "values")
   m <- suppressWarnings(median(x))
-  paste0("quantiles(", round(m, digits), ")[", vctrs::vec_size(q), "]")
+  paste0("quantiles(", round(m, digits), ")[", vctrs::vec_size(x), "]")
 }
 
 
@@ -78,11 +77,11 @@ validate_dist_quantiles <- function(values, quantile_levels) {
       i = "Mismatches found at position(s): {.val {which(length_diff)}}."
     ))
   }
-  tau_duplication <- map_lgl(quantile_levels, vctrs::vec_duplicate_any)
-  if (any(tau_duplication)) {
+  level_duplication <- map_lgl(quantile_levels, vctrs::vec_duplicate_any)
+  if (any(level_duplication)) {
     cli::cli_abort(c(
       "`quantile_levels` must not be duplicated.",
-      i = "Duplicates found at position(s): {.val {which(tau_duplication)}}."
+      i = "Duplicates found at position(s): {.val {which(level_duplication)}}."
     ))
   }
 }
@@ -120,22 +119,25 @@ extrapolate_quantiles <- function(x, probs, ...) {
 #' @importFrom vctrs vec_data
 extrapolate_quantiles.distribution <- function(x, probs, ...) {
   arg_is_probabilities(probs)
-  dstn <- lapply(vec_data(x), extrapolate_quantiles, p = probs, ...)
+  dstn <- lapply(vec_data(x), extrapolate_quantiles, probs = probs, ...)
   new_vctr(dstn, vars = NULL, class = "distribution")
 }
 
 #' @export
 extrapolate_quantiles.dist_default <- function(x, probs, ...) {
-  q <- quantile(x, probs, ...)
-  new_quantiles(values = q, quantile_levels = probs)
+  values <- quantile(x, probs, ...)
+  new_quantiles(values = values, quantile_levels = probs)
 }
 
 #' @export
 extrapolate_quantiles.dist_quantiles <- function(x, probs, ...) {
-  q <- quantile(x, probs, ...)
-  tau <- field(x, "quantile_levels")
-  qvals <- field(x, "values")
-  new_quantiles(values = c(qvals, q), quantile_levels = c(tau, probs))
+  new_values <- quantile(x, probs, ...)
+  quantile_levels <- field(x, "quantile_levels")
+  values <- field(x, "values")
+  new_quantiles(
+    values = c(values, new_values),
+    quantile_levels = c(quantile_levels, probs)
+  )
 }
 
 is_dist_quantiles <- function(x) {
@@ -152,10 +154,10 @@ is_dist_quantiles <- function(x) {
 #'
 #' @examples
 #' edf <- case_death_rate_subset[1:3, ]
-#' edf$q <- dist_quantiles(list(1:5, 2:4, 3:10), list(1:5 / 6, 2:4 / 5, 3:10 / 11))
+#' edf$dstn <- dist_quantiles(list(1:5, 2:4, 3:10), list(1:5 / 6, 2:4 / 5, 3:10 / 11))
 #'
-#' edf_nested <- edf %>% dplyr::mutate(q = nested_quantiles(q))
-#' edf_nested %>% tidyr::unnest(q)
+#' edf_nested <- edf %>% dplyr::mutate(dstn = nested_quantiles(dstn))
+#' edf_nested %>% tidyr::unnest(dstn)
 nested_quantiles <- function(x) {
   stopifnot(is_dist_quantiles(x))
   map(
@@ -236,12 +238,16 @@ pivot_quantiles <- function(.data, ...) {
 #' @export
 #' @importFrom stats median qnorm family
 median.dist_quantiles <- function(x, na.rm = FALSE, ..., middle = c("cubic", "linear")) {
-  tau <- field(x, "quantile_levels")
-  qvals <- field(x, "values")
-  if (0.5 %in% tau) return(qvals[match(0.5, tau)])
-  if (min(tau) > 0.5 || max(tau) < 0.5 || length(tau) < 2) return(NA)
-  if (length(tau) < 3 || min(tau) > .25 || max(tau) < .75) {
-   return(stats::approx(tau, qvals, xout = 0.5)$y)
+  quantile_levels <- field(x, "quantile_levels")
+  values <- field(x, "values")
+  if (0.5 %in% quantile_levels) {
+    return(values[match(0.5, quantile_levels)])
+  }
+  if (length(quantile_levels) < 2 || min(quantile_levels) > 0.5 || max(quantile_levels) < 0.5) {
+    return(NA)
+  }
+  if (length(quantile_levels) < 3 || min(quantile_levels) > .25 || max(quantile_levels) < .75) {
+    return(stats::approx(quantile_levels, values, xout = 0.5)$y)
   }
   quantile(x, 0.5, ..., middle = middle)
 }
@@ -256,15 +262,15 @@ mean.dist_quantiles <- function(x, na.rm = FALSE, ..., middle = c("cubic", "line
 #' @importFrom stats quantile
 #' @import distributional
 quantile.dist_quantiles <- function(
-    x, probs, ...,
+    x, p, ...,
     middle = c("cubic", "linear"),
     left_tail = c("normal", "exponential"),
     right_tail = c("normal", "exponential")) {
-  arg_is_probabilities(probs)
+  arg_is_probabilities(p)
   middle <- match.arg(middle)
   left_tail <- match.arg(left_tail)
   right_tail <- match.arg(right_tail)
-  quantile_extrapolate(x, probs, middle, left_tail, right_tail)
+  quantile_extrapolate(x, p, middle, left_tail, right_tail)
 }
 
 
diff --git a/R/layer_quantile_distn.R b/R/layer_quantile_distn.R
index 6c848231d..a99eed326 100644
--- a/R/layer_quantile_distn.R
+++ b/R/layer_quantile_distn.R
@@ -77,8 +77,8 @@ slather.layer_quantile_distn <-
     dstn <- components$predictions$.pred
     if (!inherits(dstn, "distribution")) {
       cli_abort(c(
-          "`layer_quantile_distn()` requires distributional predictions.",
-          "These are of class {.cls {class(dstn)}}."
+        "`layer_quantile_distn()` requires distributional predictions.",
+        "These are of class {.cls {class(dstn)}}."
       ))
     }
     dstn <- dist_quantiles(
diff --git a/R/layer_residual_quantiles.R b/R/layer_residual_quantiles.R
index 2e7639853..932f73246 100644
--- a/R/layer_residual_quantiles.R
+++ b/R/layer_residual_quantiles.R
@@ -116,7 +116,7 @@ slather.layer_residual_quantiles <-
 
     r <- r %>%
       dplyr::summarize(
-        q = list(quantile(
+        dstn = list(quantile(
           c(.resid, s * .resid),
           probs = object$quantile_levels, na.rm = TRUE
         ))
@@ -124,7 +124,7 @@ slather.layer_residual_quantiles <-
 
     estimate <- components$predictions$.pred
     res <- tibble::tibble(
-      .pred_distn = dist_quantiles(map2(estimate, r$q, "+"), object$quantile_levels)
+      .pred_distn = dist_quantiles(map2(estimate, r$dstn, "+"), object$quantile_levels)
     )
     res <- check_pname(res, components$predictions, object)
     components$predictions <- dplyr::mutate(components$predictions, !!!res)
diff --git a/R/step_growth_rate.R b/R/step_growth_rate.R
index f6ad29a5b..74cfff284 100644
--- a/R/step_growth_rate.R
+++ b/R/step_growth_rate.R
@@ -42,20 +42,19 @@
 #'   recipes::prep() %>%
 #'   recipes::bake(case_death_rate_subset)
 step_growth_rate <-
-  function(
-      recipe,
-      ...,
-      role = "predictor",
-      trained = FALSE,
-      horizon = 7,
-      method = c("rel_change", "linear_reg", "smooth_spline", "trend_filter"),
-      log_scale = FALSE,
-      replace_Inf = NA,
-      prefix = "gr_",
-      columns = NULL,
-      skip = FALSE,
-      id = rand_id("growth_rate"),
-      additional_gr_args_list = list()) {
+  function(recipe,
+           ...,
+           role = "predictor",
+           trained = FALSE,
+           horizon = 7,
+           method = c("rel_change", "linear_reg", "smooth_spline", "trend_filter"),
+           log_scale = FALSE,
+           replace_Inf = NA,
+           prefix = "gr_",
+           columns = NULL,
+           skip = FALSE,
+           id = rand_id("growth_rate"),
+           additional_gr_args_list = list()) {
     if (!is_epi_recipe(recipe)) {
       rlang::abort("This recipe step can only operate on an `epi_recipe`.")
     }
diff --git a/R/step_lag_difference.R b/R/step_lag_difference.R
index 2482be46a..21878eaa7 100644
--- a/R/step_lag_difference.R
+++ b/R/step_lag_difference.R
@@ -23,16 +23,15 @@
 #'   recipes::prep() %>%
 #'   recipes::bake(case_death_rate_subset)
 step_lag_difference <-
-  function(
-      recipe,
-      ...,
-      role = "predictor",
-      trained = FALSE,
-      horizon = 7,
-      prefix = "lag_diff_",
-      columns = NULL,
-      skip = FALSE,
-      id = rand_id("lag_diff")) {
+  function(recipe,
+           ...,
+           role = "predictor",
+           trained = FALSE,
+           horizon = 7,
+           prefix = "lag_diff_",
+           columns = NULL,
+           skip = FALSE,
+           id = rand_id("lag_diff")) {
     if (!is_epi_recipe(recipe)) {
       rlang::abort("This recipe step can only operate on an `epi_recipe`.")
     }
diff --git a/man/arx_args_list.Rd b/man/arx_args_list.Rd
index b4aad6a12..e5d2391c8 100644
--- a/man/arx_args_list.Rd
+++ b/man/arx_args_list.Rd
@@ -10,7 +10,7 @@ arx_args_list(
   n_training = Inf,
   forecast_date = NULL,
   target_date = NULL,
-  quantile_level = c(0.05, 0.95),
+  quantile_levels = c(0.05, 0.95),
   symmetrize = TRUE,
   nonneg = TRUE,
   quantile_by_key = character(0L),
@@ -36,7 +36,7 @@ The default \code{NULL} will attempt to determine this automatically.}
 \item{target_date}{Date. The date for which the forecast is intended.
 The default \code{NULL} will attempt to determine this automatically.}
 
-\item{quantile_level}{Vector or \code{NULL}. A vector of probabilities to produce
+\item{quantile_levels}{Vector or \code{NULL}. A vector of probabilities to produce
 prediction intervals. These are created by computing the quantiles of
 training residuals. A \code{NULL} value will result in point forecasts only.}
 
@@ -76,5 +76,5 @@ Constructs a list of arguments for \code{\link[=arx_forecaster]{arx_forecaster()
 \examples{
 arx_args_list()
 arx_args_list(symmetrize = FALSE)
-arx_args_list(quantile_level = c(.1, .3, .7, .9), n_training = 120)
+arx_args_list(quantile_levels = c(.1, .3, .7, .9), n_training = 120)
 }
diff --git a/man/arx_fcast_epi_workflow.Rd b/man/arx_fcast_epi_workflow.Rd
index 1c7aac02e..8c76bcdd7 100644
--- a/man/arx_fcast_epi_workflow.Rd
+++ b/man/arx_fcast_epi_workflow.Rd
@@ -49,7 +49,7 @@ arx_fcast_epi_workflow(
 arx_fcast_epi_workflow(jhu, "death_rate",
   c("case_rate", "death_rate"),
   trainer = quantile_reg(),
-  args_list = arx_args_list(quantile_level = 1:9 / 10)
+  args_list = arx_args_list(quantile_levels = 1:9 / 10)
 )
 }
 \seealso{
diff --git a/man/flatline_args_list.Rd b/man/flatline_args_list.Rd
index 669cb7a9f..c5a5d9885 100644
--- a/man/flatline_args_list.Rd
+++ b/man/flatline_args_list.Rd
@@ -31,6 +31,10 @@ The default \code{NULL} will attempt to determine this automatically.}
 \item{target_date}{Date. The date for which the forecast is intended.
 The default \code{NULL} will attempt to determine this automatically.}
 
+\item{quantile_levels}{Vector or \code{NULL}. A vector of probabilities to produce
+prediction intervals. These are created by computing the quantiles of
+training residuals. A \code{NULL} value will result in point forecasts only.}
+
 \item{symmetrize}{Logical. The default \code{TRUE} calculates
 symmetric prediction intervals. This argument only applies when
 residual quantiles are used. It is not applicable with
diff --git a/man/nested_quantiles.Rd b/man/nested_quantiles.Rd
index c4b578c1a..b1a67cffe 100644
--- a/man/nested_quantiles.Rd
+++ b/man/nested_quantiles.Rd
@@ -17,8 +17,8 @@ Turn a vector of quantile distributions into a list-col
 }
 \examples{
 edf <- case_death_rate_subset[1:3, ]
-edf$q <- dist_quantiles(list(1:5, 2:4, 3:10), list(1:5 / 6, 2:4 / 5, 3:10 / 11))
+edf$dstn <- dist_quantiles(list(1:5, 2:4, 3:10), list(1:5 / 6, 2:4 / 5, 3:10 / 11))
 
-edf_nested <- edf \%>\% dplyr::mutate(q = nested_quantiles(q))
-edf_nested \%>\% tidyr::unnest(q)
+edf_nested <- edf \%>\% dplyr::mutate(dstn = nested_quantiles(dstn))
+edf_nested \%>\% tidyr::unnest(dstn)
 }