What exactly does a man get for going out of his way like you suggest? Most of the time, nothing. Unless I can read that a woman is receptive to friendship, trying to befriend women because they're women is time better spent on working. It's a two-way street, and while I have had my share of female friends, the majority of women are either not receptive(i.e. won't give men the benefit of the doubt) or content to wait for men to take the initiative.