Unfortunately, in the UK, home-schooling is so unregulated that you could get a family of Nazis bringing up children to be bigots and nazis like themselves, and nobody could stop them. Nobody could even check up on you to see you were giving your children sufficient lesson time or lessons of any kind of quality. You could claim that one walk a week was "nature study" and was sufficient "study" for several children for a whole week. These children could then be left to their own devices on the Internet or playing games for the rest of their "school" time. It is nobody's responsibility to check the quality of Home education. It also gives ample opportunity for anyone whose religion teaches inferiority of women to give their daughters "education" in nothing but housework, cooking, and looking after granny.
Even if "home schooling" were to be regulated by some education authority, I shoud still oppose it on many other grounds - too many to go into here.