Depends on the behavior and depends on the illness. What you posted was an extremely broad comment.
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But if someone was behaving in such a way that I'm not getting what I need out of a relationship anymore, or they're hurting someone, I'd confront that person and possibly leave the relationship regardless of whether it was mental illness causing the problem or not. I think that even though we can't control some of the things we do, it's our responsibility to find ways to keep it from causing problems, or at least to apologize and get help. Being mentally ill doesn't give you a free pass to be mean or controlling or hurtful.
tl;dr I'm accommodating, but only up to a point, and I expect others to act the same towards me and my behaviors. I can be more specific if you have a specific situation you want people to respond to.