apushatayid: There is no point in reversing who gets the name first if it will only result in reversing the problem of who doesn’t have dates, as you indicated. Additionally, if you want to reverse it, you can in your work as a shadchan. You can’t make some kind of binding rule imposing your idea on all other shadchanim. Also, in my experience acting as a shadchan I’ve often found more good boys than girls.
HayyimOvadya: It seems to me that the older girls often are the ones who delayed shidduchim in order to obtain a higher education. Unfortunately they become highly educated but unmarried.