Whoa...UAA school. (Let's avoid that whole "DIII Ivy" discussion.) Their women definitely did a great job this year. That UAA win was huge. CWRU is a great school, very well respected, and of course offers (in the UAA meets) the chance to compete with some of the very best DIII athletes in the country.
If memory serves, CWRU has more male than female students (still true?), and of course no athletic scholarships--so yeah, all else being equal, you'd expect the men to be at least as good as the women.*
Still, I agree with one of the posters above: different cultures can arise on the different sexes' teams, and sometimes getting the lagging squad to change its attitudes can be very tough--it's often mostly out of the coach's control (beyond cutting everybody from the team and starting over).
There was a whole thread some months back that was dedicated to this general topic. You don't have to look much farther than jtupper to find a program whose women were almost untouchable, and whose men were a full step lower (though still one of the better teams in the Region).
I believe, along with others, that men and women *are* different and--in general--do need to be coached somewhat differently (in terms of physiology, psychology, and mechanics). And the sex of the person who coaches both squads is a poor indicator of which sex's team will be the more competitive: some (not many get the chance) female coaches work better with male athletes; quite a few male coaches have more competitive women's teams.
*Except that it's still a bit easier to be competitive on the women's side than on the men's. Thirty years ago, when I was coaching college women (and pretty much clueless about kinesiology/physiology, by the way), it was *much* easier: we were a very good team just because the women showed up and did some kind of workout, however misguided, every day.