I'm not sure how disabilities gully work in tf generally speaking, I think most continuities would go "yeah they're robots they just replace shit" but HRMMM I need more visably disabled robots!!!! AND GUYS IF THERE'S ANY DISABLED ROBOTS LIKE THIS (for example Ultra Magnus in tf prime) LET ME KNOW CAUSE I'D LOVE TO SEE THEM!!!!!!
I really wanna have him with a prosthetic leg from the tfone mining incident, cause I think he would be really cool with it and open up SO MANY talking points about it in the lore. My guess is that being a miner, he probably didn't have the funds to get a spendy ass replica leg so he got what he could. It's shitty and sometimes makes his life more difficult, he is probably saving up to get at least a better one cause this one doesn't suit all his needs. Yet he's still content enough with it, able to be humorous in grim situations.
Jazz would LOVE to fuck with people with it. Like when like dancing, his leg will "accidentally" slip off and hit a bot in the face as they scream bloody murder. Jazz finds a lot of chances to be silly with it, pulling pranks, cracking jokes, making up white lies to strangers, because that's who he is and also to kinda say fuck you to abelist bots who treat him differently due to how noticeable the prosthetic is.
And imagine if he was in ES with a prosthetic leg and meets Dorothy, itd be so cute and fun to see them have solidarity over it. Both lost theirs doing their job and I'm sure Jazz got a lot of looks on Cybertron for having a prothestic that stands out rather than trying to get an exact copy of his other leg. Dorothy might not have seen a lot of transformers before with prosthetics/didn't know they could get them and both are very curious about the processes to get them on Earth and Cybertron.
Jazz is a fun guy but does not have a blind eye to the discrimination he faces (cause he can't). I am also very transparently projecting, cause while I am not missing a limb, his could be a story of being a poor disabled person which IS something I'm intimately fimilliar with.
He has less job opportunities due to his lesser quality leg, he can't take on as many shifts and it gets achey if left on for too long (which in order to make a living he often times has to push past its limits). While he can transform, it takes some getting used to again and does get comments about people being able to see where his prosthetic and how it "ruins the aesthetic" of his alt mode. He can be as funny as he wants, but sometimes it does get to him, and does know when to cut the crap and get serious about it. He genuinely doesnt feel lesser for his disability, he's just really angry at the bots around him who see him as lesser, he has to work 20 times harder than another bot to get the same amount of work, and tbh I don't see a lot of support for being disabled happening on Cybertron. I kinda think Jazz is an outliar where most prosthetic bots are shut ins or they had to turn to other means to get paid (ie. instead of getting a hands or legs, they get weapons to fight illegally), but Jazz is fighting to be seen and treated as an equal, and not a lot of bots like others "rising from their ranks".