Another data point, I was on IST-SFO yesterday sitting in the first row. They only had 4 or 5 female versions (they are REALLY nice!), and the rest was just male standard black version. The passenger next to me asked for the female one, he said "I'll give this to my wife". One of the cabin crew tried explaining that they only have a limited number of female ones, but then another one came and said, in Turkish, "just give it, there won't be enough female anyways".
It looks like they actually don't load these based on the gender distribution, they just load a few female ones (10-20%), and the rest is the male version. Bag design aside, it's just weird to give a male body mist/scent to female passengers :/