I take things on a case by case, know it when I see it basis. I have my specifications (mostly to do with attitudes) but I try to keep them as minimal as possible. I've learned to keep my expectations to just what I really need, and no more.
Are people with mental health issues who aren't aspies, NT? If so, NT is not a barrier. I've never been with anyone who's really well-adjusted. I tend to relate to people through common experience; I'd find it really hard to relate to someone who didn't struggle in life (relatively speaking, that is). But I guess I'd be willing to consider it, if the chemistry was there and my basic specifications were met.