Public schools are usually not great institutions of learning. Even private schools frequently don't mesh with what the parents desire. But, the one thing that these facilities have in common is the chance that kids might be protected. There are alot of bad people out there. There are people who rape their kids, beat their kids, use and abuse in every manner concievable. Many kids never get the help they need from their school. Occasionally though some adult recognises what is happening and steps up to help the kid. Even though it is not 100% success, not even close, at least in a school structure their is a chance that the problem will be ferreted out.
Is there any chance at all that a home schooled kid will be protected?
Do you really beleive that there aren't parents out there keeping their kids out of school for just that reason?