Here's another example from the roll (FA31 again) for why it's nice to be wide with narrow depth of field.
On the other hand, shooting people with a wide angle especially on film can be pretty easy to screw up. Distortion can make people look unflattering or downright ridiculous pretty easily.
I would agree that it is tough for lens makers on an APS-C SLR camera to make good fast wide angles, although I'm not sure if I agree that it would be impossible. Just probably large and expensive
Mirrorless makers have come out with some good ones. Sony, Samsung, Ricoh, Olympus and, of course, Leica, all have good performers that are 30 mm equivalent or wider for APS-C cameras.