Exactly. It's exploiting the sexism that women already suffer from, in order to increase it.
I had a similar thing a few years ago when an acquaintance said what would you say to the fact that you get to have your women only toilets, and it's a privilege that is denied transwomen.
Deeming women only loos, which women require in order to keep them safe from men, as a privilege to enjoy, rather other than a necessity for protection, was a real fucking eye opener. Especially as it's protection from the very men trying to repurpose it as an ego boosting validation tool.
And it's the same with Robin.
Leveraging the sexism which results in mostly women taking on the childcare in order to expose them to risk from men?
Misogyny at its most excruciatingly blind.