What if group education is the problem? Parents being allowed to teach their children is a human right, and it's only very strange countries that block it. It smacks of government indoctrination.
> And .. the majority of reasons for homeschooling are plain invalid in my world (often based on religious ideas, claiming that the curriculum is containing 'forbidden'/'evil'/'wrong' stuff).
I guess the government indoctrination is working on you. (Did they run some propaganda ads to make you believe such a strange thing?)
No, the reason most parents homeschool is that they can do a much better job, because you don't have to spend half of the day on useless structure and discipline. By doing that you free up so much time that kids can learn twice as much as non homeschooled kids. Or they can learn other subjects not normally taught, or they can explore their interests.
It's not for all parents of course, it requires a good commitment. But homeschooled kids end up with much better educations that regular schooled ones. There have been many studies in the US on this subject and the results are very clear: Homeschooling works much better.
> 'Free society' doesn't imply the right to do everything. For some, myself included, the requirement to send your kids to a 'real' school is a necessary thing and not Restricting The Freedom.
Of course it is restricting. You have just been brainwashed. A society can make up any rules it likes, and I guess you'll go along with it.
But you have to have a good reason for the rules. And there is no good reason at all for the ban on homeschooling.