Affine shader rendering causing visual artifacts

Reducing “Near Clip” was one of the first things I tried but it doesn’t help (in fact, it introduces an artefact and flickering).

I, too, though that it might be an issue with the world-to-screen conversion. Indeed, these values look like a likely cause:
Renders correctly

[
   -2026791.601781152,       1372756.0914588473,
   -2026791.6017792993,     -1446096.2382574677,
        761.787857167391,       1289.666117420334,
        761.7878571673912,      -415.70118738656015
]

Renders incorrectly

[
    415889.4951735449,    -279507.14710722025,
    415889.4951736223,     295579.9674720668,
       757.3918015702643,    1292.6350019286103,
       757.3918015702645,    -418.84295230932025
]

But after further experimentation (PlayCanvas | HTML5 Game Engine) I’m not so sure.
Correct

[
    3603.666493061614,    -1150.3482577680213,
    3603.666493061615,     2177.2492314664587,
   -1683.9788478775722,    2069.2388950468257,
   -1683.9788478775727,   -1258.3585941876547
]

Incorrect

[
     3602.5581986625775,    -1150.3482577680213,
     3602.5581986625784,     2177.2492314664587,
    -1682.870553478536,      2069.2388950468257,
    -1682.8705534785363,    -1258.3585941876547
]

Oh, and bear in mind that the render error occurs inconsistently: occurring when some vertices are out-of-bounds but not for others.
And never when the following is not used
gl_Position /= gl_Position.w;