The fact that you argue for daycare workers to be paid but not parents is honestly astonishing.
“No, we will not give you $100/day for your kid but we will happily give $100/day to BabyCorp to watch your kid” is a really fucked up policy stance unless you explicitly want to break children apart from their families. If that’s the goal, just explicitly say it.
I think it's even more astonishing that you are arguing that it's normal for parents to have so little love for their own child they should bill the government for time spent with them.
If my stay-at-home mum was like that, I'd definitely have preferred the full time daycare. It was even possible for her to send me to daycare some of the time without breaking the family up!