In AZ we offer ESA to homeschoolers, vouchers to charter or private school kids, and then normal tuition free public schools.

That way the service/resource is available to all children regardless of who the parent picks to provide it, according to what the family sees as their best option. It's not about who gets the money, just that the resources are available.

I think very rarely does the state or society have a better view in aggregate of what is best for each family, particularly when you consider the asymmetry of millions of families having time and information to contemplate their circumstance vs voters or bureaucrats having complete inability to put any real thought on the child on a per-child basis.