Yes, they are bad people, and the fact that they didn't have to think about going out of there way to tear someone down is part of why they are bad people.
They didn't have to think about "let's tear the woman down" because they were already at the position 'she didn't belong there.' And yes, there would most likely be something similar with a man and his daughter, it just would simply be along the lines 'she's never going to get married if you teach her to act like a boy.'
> I think there's a lot of unconscious, unconsidered, unthoughtful bias that they (and we) all carry around by default,
Yes there is, and it makes you a bad person. You should be derided for it every time it shows itself.