I'm actually one who prefers it if a woman approaches me.
I'm sure I've done my fair share of throwing myself in first. Especially strange, being such the introvert I am.
But I definitely find the extraverted types are the first I notice, for obvious reasons of them being all up in my face.
But as has also been said, depending who it is, it can sometimes come off as too much, as well. For me, it'd probably depend on my mood, as to -how much- extraversion I could manage. A simple, friendly hello is never going to put me off, though.