The banning system has bugs, sure.
However, I don't really think anyone cares whether or not anyone has this illness or disease. In the end, it comes down to your actions, reactions, etc.
I have ADHD, personality disorder, mood disorders and 2 different types of Anxiety. A few years ago I was horrible. I was toxic. I was nasty and mean to everyone. SOME HOW I didn't get any sort of banning, but I sure lost a whole hell of a lot of games. What did I do? I changed.
I didn't use my mental disorders as a way to try to get leniency because in the end those aren't to blame. I'm aware I have them and I'm aware that if I'm in a particular way that I can just step away from them. If I choose not to and rage at someone, that's my fault and I deserve to get punished for it.
Your actions have consequences. Everyone gets punished for being toxic the same way. No one is descirminated against because they have this eye color or this illness, whatever. If I got banned then when I was an asshole, I deserved it.
Moral of the story? Your illnesses aren't a crutch and they aren't at fault for how you perform as a person. If you can't handle the game, don't play it. If you have issues with people in said game, block them. Report them at the end of the game.
Take what you got when you were banned for toxic behavior and learn from it, grow and improve.
It's really that simple.