Discrepancy in Coordinate System Projection

[augusto-de-freitas-isi]

Description:
Hi, I'm working with projected coordinate systems and have noticed a potential discrepancy between the coordinate system standard described on the Nerfstudio website and what is actually used in practice.

When applying an image to transform.json using an identity matrix, the projection did not follow the expected standard of projecting onto -z at (0,0). Instead, I observed differences in the visualization. Has anyone else noticed this, or am I missing something obvious?

Below is the JSON I used:

{
    "fl_x": 1147.1526990016812,
    "fl_y": 1158.8252259026597,
    "k1": -0.013472197525381842,
    "k2": 0.007509466554079491,
    "p1": -0.0011800209664517077,
    "p2": 0.01116939407701522,
    "cx": 540.0,
    "cy": 960.0,
    "w": 1080,
    "h": 1920,
    "aabb_scale": 16,
    "frames": [
        {
            "file_path": "./images/frame_00001.png",
            "transform_matrix": [
                [1.0, 0.0, 0.0, 0.0],
                [0.0, 1.0, 0.0, 0.0],
                [0.0, 0.0, 1.0, 0.0],
                [0.0, 0.0, 0.0, 1.0]
            ]
        },
        {
            "file_path": "./images/frame_00002.png",
            "transform_matrix": [
                [0.0, 0.0, -1.0, 0.0],
                [0.0, 1.0, 0.0, 0.0],
                [1.0, 0.0, 0.0, 0.0],
                [0.0, 0.0, 0.0, 1.0]
            ]
        },
        {
            "file_path": "./images/frame_00003.png",
            "transform_matrix": [
                [0.0, 0.0, 1.0, 0.0],
                [0.0, 1.0, 0.0, 0.0],
                [-1.0, 0.0, 0.0, 0.0],
                [0.0, 0.0, 0.0, 1.0]
            ]
        },
        {
            "file_path": "./images/frame_00004.png",
            "transform_matrix": [
                [1.0, 0.0, 0.0, 0.0],
                [0.0, 1.0, 0.0, 1.0],
                [0.0, 0.0, 1.0, 0.0],
                [0.0, 0.0, 0.0, 1.0]
            ]
        }
    ]
}

The axes are not just translated but are also quite misaligned.
Is there a discrepancy between the Nerfstudio documentation on the coordinate system and the actual implementation?
Should the identity matrix project differently in the default coordinate system as described?