I think the E does matter. Maybe it is my attitude. I am not self-conscious and will flirt and initiate enough so the man can ask me out. Part of the extroversion meaning the world is external and I want to go make it happen and being energized by that. I don' take romantic rejections personally so I have a fearless attitude, albeit appropriate. If the guy doesn't like you, its their loss. If you can believe that in your gut of guts then flirting is easy and dating is fun and a way to get to know and appreciate others and yourself.
I might not be typical here.
Edit: I just realized I necromanced this thread