Joseph, it’s the guy’s job to pick up the girl. It has to do with the differences between a guy and a girl in a relationship, and it’s not good for a relationship to do things differently. Read “Men are from Mars; women are from Venus.” I don’t think he discusses that specifically, but I think he talks about similar things.
A girl I know asked a Rav about travelling for Shidduchim and she was told that girls aren’t supposed to travel for shidduchim. The guy is the one who is missing his rib, and he needs to find it. It’s not good for guys if they have the attitude that “there are so many girls to date, I don’t need to travel in order to date.” He has to realize that the girl is worth travelling for. If he doesn’t realize that, then he is not someone I want to go out with.