Yes, there are a lot of reasons to homeschool. And I don’t want to undermine your idea, but the vast majority (by far) of people that homeschool do so because of disagreements with secular education. Public schools are an increasingly politicized issue, likely the dominant factor in the recent uptick of homeschooling, and I think saying it is not possible to hold an opinion on the issue one way or the other is a bit too reductionist of reality.