That sounds incredibly distopian.
Plenty of studies show the benefits of children being raised by their actual parents. If anything, the bias towards staying at home is not strong enough, because it only has negative motivators - the taxes on paying childcare / having a career. That doesn't make it any easier to have either or preferably both parents actively raise the child where neither of them have to be absent from their life to provide food and shelter, but it does make it harder to have both parents working.
But that hardship demonstrably does not outweigh the lost income, since so many households are two income with children in third party care services. I would hesitate to ever advocate trying to punish dual income households more for using child care services, since those are exactly the ones who often have no choice in the matter.