Czech here. Guess who outlawed homeschooling in Germany (Reichsschulpflichtgesetz). Yes, it was him. No children outside state control. Unfortunately the modern German state likes this idea too.

We have homeschooling in CZ. Not many people use this option, but those who do usually do so because they see schools as inefficient. When I was a kid, at least a third, sometimes more than a half of every lesson was spent on various logistics, individual examination of pupils by the board, or simply disciplining the class. This is a very wasteful use of time, our most restricted life asset. In individual training, you can teach all the necessary stuff in three hours and then, for example, go for a hike.

In my experience homeschooled children are the most fit ones. They move around a lot, not being forced to sit (the worst position for a human body) for endless hours.