I'm not seeing this connection that you and others are making between private schools and tutoring or homeschooling. When I say private schools, I mean it in the sense most people think of private schools: large institutions requiring applications, charging tuition and hiring teachers not related to the students, not "any form of education not provided publicly". I don't think homeschooling fits this definition.

The point is to move the bar for removing yourself higher - systems are complicated, there are no perfect solutions. Of course, people will always find a way - at the very least, they can move to another country. Right now though a significant number of people opt out of the public system and I think that's a huge problem.