Whatever floats 'yer boat of course. Personally, I wouldn't touch this with a prosthetic hand. If I was in a wheel chair I might roll over it, however. Of course, I jest...
That said, seems like a lot of minutia for a concept that could easily be hashed out between a player and GM. I've yet to come across a person who actually wants to play a cripple, or some such. 99.99999% of folks seem to want to play a better, or more competent version of themselves.
But, yeah... Knock yourself out and have a ball with it, if that's your bag. But 'em... Count me out, and just don't bring it to my table, or any other 5e product for that matter.