So this is useful. Prof. Scruton, influential Conservative philosopher who provides the oomph for conservative thought and the viagra for flagging Tory spirits in, for example, his articles in the Spectator, says of home education "I am entirely in favour of it". See his comment at:
He frames his approval of HE in a way that suggests that he sees it as a stepping stone towards more and better independent schooling. I have written a reply to this in his comment section at the above address.