That may be the case, but often the mom's of priests are often a strong contributing factor to their following in that vocation. It's one of the reasons that the current bishop fully supports girls being altar servers.
As a youth coach, we realized that, typically, the most important aspect to getting a kid into football and keeping them there was engaging and convincing the moms. I think the gender shortcoming argument tends to one on shaky ground.
Standard argument that I've heard against girls playing the sport is the physicality of the game. There's may be some merit to that as you get high up in the gameplay, although I think there are some guys on teams that would get their clocks cleaned by some girls that might play the game. At the youth level; however, I think the differences are less defined and might just provide fertile ground for setting the hook for folks that might eventually be ripe for candidacy for officiating.