My thought about the home schooling not being a solution was more because once an adult has no critical thinking skills themselves because of their public school education, then they also have lost the ability to see what public education is doing to their kids as well, and that their kids would benefit from getting an education from some other place than the public school system. That situation is what I see as hard to get turned around once we have gotten ourselves to that state.
I see, yes, people like that are unlikely to choose to home school. Very true.