I think that really depends with every individual. 

I myself notice I sometimes use him for girls. Especially when I'm really close to them and I hang out with them a lot. But that happens very rarely. We people tend to place things in boxes or label them. A lot of men, not all of them, think of girls being 'weaker' then men. I myself disagree as I'm quite sure there are plenty of women who are more capable than I myself am. 
It all really depends on the person and his/her view on things. 
I think that's the best answer I can give you. I hope someone can explain it better than I do.