Let's put something clear here (unpopular but legit opinion here)
Rourke's character is not at 100% the *beep* in this situation. Sure he wasn't the best lover and he was abusive. But in the end, he really loved her and he just felt that she was all into his games. His heart is broken when she leaves her, something that surprisingly made me feel bad for him, and made me despise her in a way. I can relate because put aside the "abusive" notion (because I wasn't), my ex left me in a simular way. And I can tell you, it really hurts.
So in the, without being an angel himself, she is kind of a bitch...