> Women take on more work too, it is just not paid work
Well, yes. I did say "take care of their kids".
This is what you originally said:
Once people get married and have kids, men take on additional work to pay for their kids. Women take on less work to take care of their kids.
You did not say that women do less paid work. You said they take on less work. This framing implicitly suggests that women's work isn't really work. This seems to be a common societal default assumption and that deeply held belief helps drive the feminization of poverty because the mental model is that women's work isn't real work and doesn't really deserve compensation.
The rest of your comment is simply gratuitously ugly, so I am done here.