If you plan on spending you're remote working hours supervising children, your not really working. Working at night will not allow more time to supervise children during the day.
I'm not convinced the OP was suggesting that limiting women's rights was a solution, merely that increased female labor participation will result in less time spent with children.
> There are plenty of good solutions that would work well
I'm not sure there are many.
> progress we've made towards equality
We've made progress in some areas, and regressed in others.
This is an issue about the amount of available time. Focusing more time in work will divert time from other activities. There is no other way of looking at it.
edit:spelling