Whilst the law states that all children between certain ages must go to school or receive alternative appropriate education, I agree with the idea of a register acknowledging that 'we have decided to home educate X' and giving basic details as to the responsible person/people and the regular times when targeted learning will be provided. Too many children completely fall through the cracks and their existence/circumstances aren't even always known about.
However, I can't say I'm in favour of compulsory training, supervision or other 'we know best' approaches by default - except where it becomes clear that the child's needs are not being met.
A lot of parents make the conscious, considered decision to home educate their children when they have reason to believe that mainstream schooling has failed them, for any of a number of reasons, or at least is not helping them to thrive. In such cases, I think it's appalling - and somewhat Kafkaesque - where the same system that might have failed your children, leaving you, as you see it, with no alternative but to do it yourself, then goes on to dictate how you should be doing it, when they apparently couldn't when given the chance.
Yes, home schooling CAN be used as a cover for abuse, but I hate the thought that it should carry a stigma and be viewed as a red flag in itself, when there are no actual tangible reasons for concern.
For plenty of neglectful and abusive parents, the very last thing they'd ever want to countenance would be to actually have to take more responsibility for, and spend more of their time and money on, their children, when they can just bundle them off to school each morning and forget about them for six hours.