Please don't jump on me, this is just something I'm thinking about. I'm very happy to conclude I'm wrong, and I realise the generalisations I'm making do not apply to all.
I have realised that my dad is one of the least patriarchal men I know. To me anyway. When I was growing up as an only child there was an assumption I would go to university, get a good job. Any relationships, children etc were completely up to me. I'm not saying this is the right approach. I was taught how to change a car tyre, sort out oil, was generally trusted to be independent and look after myself (less so by my mum :))
Dhs dad is absolutely lovely but grew up in a predominantly male household and had boys himself. His views on women's roles seem a little more old fashioned. That could just be the way it is. I'd like to also say he's not rude about it, if he comes across something new he's quite accepting.
We have a boy and a girl. When dd was born I could see dh challenging some of his inner views about parenting girls, and making a conscious effort to not treat her as a delicate little flower.
I don't know...am I on to anything here? I suppose what I'm saying is dads of gis have more reason to challenge patriarchal attitudes and opinions they may have entrenched.