The original playstation was barf. It only rendered triangles and had screen space "affine" texture mapping. Now affine distortion is almost tolerable on a polygon surface, but when that surface is divided into triangles it causes an ugly warping and bending in the texture. This is why Crash Bandicoot was shaded only. If you have perspective correct texturing it doesn't matter what primitives you render and that's basically the state of things today. Incidentally, even the original Doom had perspective correct textures.