That really isn’t how rising productivity works. Your job isn’t replaced by a robot, you can do more, but childcare will never be able to reap the same productivity gains, and hence, people will migrate out of child care into other areas of high productivity where they can simply be paid more. It costs rise so high that it makes sense for one parent to take over childcare duties and not worn anymore.

It is a huge problem and we are seeing the effects in real time. At least education is mostly socialized so the problem reduces after 5 or so (but before and after school care is becoming impossible).