I don't have the latter problem - I got the opposite problem from that, sometimes I hate the system a little bit too much - but still, remembering how the teachers used to threaten us if we don't put up our best act, meaning never speak out about the lies they told when other parents visited, I can't really trust few visits to give me an accurate impression.
Consider German history. They had the Nazis in power. Half of Germany had the Communists in power. So, you don't want Nazis and Communists home schooling their kids - you want those kids in regular school, where they can be taught about democracy and human rights. But if the Nazis or Communists are in power, you absolutely want to be able to homeschool, rather than have that garbage beat into your kids day after day at school.
So given their history, I can absolutely see why they should be afraid of home schooling. But I can also see why they should want the freedom to do it.