I am not sure where the problem lies, exactly? I too see hate crimes as traditionally the ones where groups hate other groups for whatever reason. But other crimes can be committed because of hate of a more 'personal' nature, if such an expression may be used. I do not think it is really the right one, but cannot think of any other.
To me, the expression 'a crime of passion' is simply used to gloss over murders out if jealousy or obsessive feelings of ownership. To me, the socalled 'passion' is an enraged feeling that someone is getting away from them. It cannot be grief, I do not think you kill out of grief, and it certainly cannot be out of love. The use of that word, love, is, again to me, a gross abuse of what that word means. Putting in connectin with taking someone's life is - gross..
If you love someone, again according to my world view of course, you want them happy. You do not want them dead.
I see. Howver, to me the unhappiness comes with using 'love' as an excuse for murder.Semantics. I'm not happy with my definition using hate as part of the explanation.