Many guys are going to treat women differently. Call me old (well, maybe because I am) but in personal interactions, I still treat women with a higher degree of respect in the sense of traditional courtesy, etc. I still open doors, give up my seat, etc. That's just the way I was raised.
However, it's clear most of the encounters I've seen in gaming like this were simply guys trying to win favor in some bizarre hope they'll make an online connection with a girl. It's a game, not a dating service. In that sense, I too treat everyone equally. .....and that is determined mostly by someone's personality, manners, etc.
I get a sense that many of these guys that display this kind of behavior in games are likely socially inept IRL to some degree. I guess that's why I get visions of some lonely virgin playing games in his Mom's basement.