There's some interesting research on the effect of T in mice which has been challenging traditional assumptions of its role in males: https://news.emory.edu/stories/2022/08/esc_testosterone_anim...

It's worth noting though that the actions of the "stereotypical man" are strongly culturally informed, and not neccessarily indicative of whatever evolutionary pressures would've wired males brains whatever way they're wired for fatherhood. I don't think we have much direct evidence of ancient female and male parent roles (apart from being able to infer the obvious, like that females would've breastfed).