I am not sure about my opinion. Yes, the woman did carry the baby and experience horrible pain, but men can’t do this, are we just to assume that they wouldn’t if they could?
Women are thought to be more neuturing and more comforting. I think that is why the women normally get the child. But this is modern day sexism that isn’t right and needs to be looked at. I think there should be investigations for both to decide if they are fit to parent and ask the child who’d they prefer. But that’s just my opinion