Yes. As a hound fancier, the whole thing makes perfect sense to me.
We say that the only difference between a dog and a bitch is that the bitch can have puppies. The clear implication being that if she does not or can not breed, gender is no longer a factor (when deciding upon her value and if and when to campaign, compete her, for instance).
It therefore follows that if society downgrades breeding, then gender, sex, cease to be of any but academic interest. So, at this point, what difference does it make.