And as a background. The majority of K-12 schools are free, public schools with a smaller but growing group of religious schools. Home schooling is perfectly legal but requires you to register with the government.
Personally I think those who advocate for home schooling often think schooling is purely for education. When for children it is also the time in which they develop socially. Taking them away from that without a suitable alternative is in my opinion somewhat reckless. But provided there is some alternative I don't see why it wouldn't be an option.