Supposedly they cannot discriminate against hiring you because of a disability, if you're qualified for the job - but then, they aren't required to tell you WHY they chose not to hire you, so that's a crap shoot.
However, if you disclose your disability and they DO hire you, the fact that you have a disability makes it more risky for them to fire you, because there's always the possibility of a discrimination claim, and that makes their company look like douchebags. It also means that they are required by law to make accommodations for your disability, so if you have an issue with noise, they can't put you right next to the loading dock, or the metal crusher, or the buzzing fluorescent light fixture, etc.
I wasn't diagnosed until my career was over, but I wish I had known sooner, it could have saved me a lot of grief. I worked with a guy who had schizophrenia, and the supervisors and managers literally tiptoed around him to make sure he wasn't inconvenienced in any way. Guy was a sweetheart, but he was never pressured to do more than he could handle.
On the other hand, I also worked with a paraplegic who got fired even more often than I did, but he was an entitled douche who did things like not show up for days and then just waltz in like nothing had happened.
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"I don't mean to sound bitter, cynical or cruel - but I am, so that's how it comes out." - Bill Hicks