> Subsidize training for example

This just spreads the cost across all taxpayers, instead of just the people consuming the service. Not to say that's a bad thing, just saying that it's not really "reducing the cost of regulation".

> Make the child-staff ratios and group sizes a more dynamic factor based on age and needs.

At least in my state, this is already the case. for infants, 1 adult per 6 children; increasing the ratio as they get older, up to 1 adult for 18 children when they're 4.

I don't think you're wrong that there are ways to reduce the burden of regulation, but I think we overestimate how much "low hanging fruit" there really is here. The common-sense, obvious, uncontroversial solutions are usually already in place

> This just spreads the cost across all taxpayers, instead of just the people consuming the service.

Yes—and then we can (in theory—obviously not going to happen in the current political climate) shift the bulk of that cost onto the taxpayers who can most afford to subsidize it, and away from the people who are just getting by. Who are, not entirely coincidentally, also the people most likely to be in need of childcare services.

1 adult per 18 4-year old children seems... hectic.