ignotum

I have bought caps like that that also came with really short leads, it’s juust long enough to reach through a PCB

I hope you mean 256/32 increments and not actual bits? I haven’t heard of a microcontroller with a pwm resolution above 16 bits

Think it depends a lot, higher frequencies means smoother current flow, higher resolution means less fluctuations, but if you have enough output filtering you can get away with pretty much anything i think