That feels like an entirely separate policy. This one is about making sure small children have care, not whether or not people deserve a minimum guaranteed income

This is basically UBI for parenting, so it's hard to see it as "entirely separate".

A core tenant of UBI is the universal part: everyone receives the benefit. High income, low income, rich, poor.

If you remove the cost of regulating a benefit, then there will be more money available for people to get this benefit.