If HE parents are provided with access to resources as part of the process, it would only benefit them, surely? Others have addressed the safeguarding issues, but this really doesn't need to be so adversarial. Yes, there are people who shouldn't be allowed to homeschool, but really all that is planned is very basic monitoring.
I only know one family who HE and I'm hopeful that they are not representative of many more. The parents were HE themselves, by semi-literate family members and it was really just an excuse to make the kids do farm work all day. They then in turn home educated their own kids in exactly the same way. Those kids in turn grew up and sent their kids to school, I'm glad to say.If there had been some sort of oversight of this situation, then two generations would have had access to proper learning and decent prospects.
No sensible person would claim that educating a child is an easy thing. If guidelines are available and periodic checks are made, then surely there would be a framework for support and referral where, for example, a learning difficulty was suspected. Parents could get reassurance and there could be some attempt at monitoring the standard of education provided.
I'm as anti-establishment as the next person and I have had serious issues with authority and the abuse thereof, but even I can see that this is a good thing. Has anyone started a pro-registe rpetition yet?