> it's pretty much a crapshoot whether you end up in a weird religious environment or an abusive environment, with a long-shot chance of ending up in a fun constructive environment with lots of personalised attention and the opportunity to travel the world.

It's a crapshoot for the kid, but a parent who's considering homeschooling knows pretty well whether they are going to be the fundamentalist type or not. If they are, they likely aren't here reading this discussion.