And with 'manipulative' I always get a little vigilant when an non NF, especially an NT says that. 'Manipulation' is in the eye of the beholder and like in that 'help with with my fat, social ENFJ coworker' thread, if you yourself lack good interpersonal skills and confidence, you'll find a lot of people to be manipulative and bullying when they're just being human.
Of course, your ex in the OP sounds like she was unhealthy. Period. And just not a pleasant person to be with. I've actually known someone who had similar behaviors -- whining, being melodramatic and seeking attention and then being really rude when you finally try to give her that attention and claim that "everyone" around her underestimates her. But she was also clinically depressed and on medication.
I dunno, I think there's a point where unhealthiness trumps MBTI. Or should be looked at separately and not pathologically or is just not really relevant to the diagnosis.
Meaning, did the person's type cause their bipolar disorder and schizophrenia and is it an extension of their personality via personalty type? Or is did the disorder/illness plant the seeds of 'personality type' or is otherwise being mistaken for personality type? For instance, a person who is very depressed will exhibit signs that would mask their 'true' personality type, if you believe that someone has a 'true' type at their core.
Maybe my understanding of mental health and disease needs more development, but I don't think that would change my perspective much. Perhaps personality typing adds another dimension to their prognosis, but I think you [can] go beyond the realm MBTI type when it comes to unhealthy behavior and such discussions are no longer helpful.