I'm with Rumr on this one, a climber is a climber, it someone is stronger than you it pushes you to be stronger, whether it is a girl or a guy. One of my friends climbs 2 V grades harder, she is just STRONG and it pushes me just like my guy friends who climb way harder than me.
Headspace, I think it is hard to compare males and females in relation to one climb. Look at ALL the hard climbs in the world, and look at how many have only seen male ascents. I'm not saying men are better, I'm just pointing out that I think your argument should be based off more than one climb.
Look at all the technical climbs at smith, then look at how many of the 5.13+ and 5.14 climbs have seen female ascents, just an example