Really? There are men that get too much credit for doing child care? What I would expect is women getting criticism from other women for being with a man who is low status (perhaps not in so many words). It is the kind of role that men are encouraged to take on but in most cases penalised socially for submitting to that pressure.

I've seen the complaints.

Men also lose status for being stay-at-home dads, so it's complicated.