You must not know what HSLDA is. Their news is not propaganda. That's just uninformed, very uninformed of you to suggest that. HSLDA has fought tooth and nail for decades for parental rights, back when it was illegal in *most* US States to homeschool. They are an in-the-trenches legal team that is one of the primary reasons it's now legal to homeschool all across the country. We have used their legal services to intercede several times already, to protect us from over-zealous school administrators that try to gate requests with special provisos or demand compliance above what individual State law requires. When HSLDA steps in, historically, school administrators back down after HSLDA clarifies State law for them. All US homeschoolers are required to comply with State law.
But when it reaches the point where you can't get kids to learn anything, and the troubles at home cause them to fail in droves, you have to address the problem if you want to do your job at all.
No, you don't have to become a nanny state to address family problems. Parents have to address their children, and society has to address the family unit on a much larger level. The state cannot function as surrogate normalized family. It can't for very long without giving rise to despotism. You might recall some failures on your side of the pond.
...the vision of frontal teaching has been thoroughly analyzed, found to be lacking for most elements of education...
At what point was the ineffectiveness of the talking-head model not obviously deficient? It was *already* obvious that if you spend time in as small groups as possible, educational achievement directly increases. I think humanity has known this pretty much...forever. Apprenticeship, guilds, etc.. What's always worked better will in the future still work better. That said, statistics *can* tell us which kinds of institutional teaching methods are the *least inefficient* compared to the gold standard of 1-on-1 methods, or simply put to score a rhetorical point: homeschool methods.
The bad is the assumption that you can do a better job than someone who actually learnt all about it.
It's clear at this point you don't understand homeschooling. It is varied. In our situation, we pay a regionally accredited Catholic school for their materials and access to instructors - actual teachers. Our kids are registered in that school, which has 16000 students. They are available by phone, chat, video, email, etc. at all kinds of hours. We, as parents, make ZERO pretense to be experts at anything the kids learn. That's stupid, and your assumption is based this misunderstanding. A child needs 2 things to learn: access to quality media on a given topic and 2) access to people who are experts on given topics. Between our paid services and the internet, none of these are lacking. In fact, we have the opposite problem. We have so many choices of where to get expert answers, the overwhelming thing is narrowing down what sources use. It can be harder than it sounds. Go to a homeschool convention in the US if you care. It's a bazaar of resources bigger than you can possibly get your mind around, even the small regional ones.
The law is for the lawless
I lifted that quote from 1 Tim 1:8-9, which says in full: "We know that the law is good, provided that one uses it as law, with the understanding that law is meant not for a righteous person but for the lawless and unruly, the godless and sinful, the unholy and profane, those who kill their fathers or mothers, murderers...". Here, St. Paul is talking about Jewish law, specifically the 10 Commandments, upon which the understanding of Western law resides. Paul's greater point is that good people who do right don't need restraints on them. In that sense, law protects good people from bad people. The freedom of bad people gets restrained, not the freedom of people of goodwill.
In Germany, it is a matter of criminal law to homeschool one's children. Something is askew with that philosophically and morally. Hopefully, reason will prevail and German law will change for the better, as it has in the past. Across the globe, homeschooling gaining, not losing ground, and to be on the right side of freedom is to be on the side for parental rights to educate their children. In the US, the Supreme Court "has repeatedly stressed that while parents have a constitutional right to send their children to private schools and a constitutional right to select private schools that offer specialized instruction, they have no constitutional right to provide their children with private school education unfettered by reasonable government regulation"", and the "reasonable government regulation" is provided by State law, which is widely varied. That said, it is now legal in all 50 US states, and the issues today are whether or not homeschoolers are entitled to state or city resources or funds, etc..
To put it plainly, if you have relatively few dollars and an internet connection, and just maybe an eReader or two, you can get a grade and highschool education that far exceeds most public school offerings costing in some cases 5% of the public school cost. It's just not that hard regardless of what any teacher's union or state government might think. We do it everyday. It's not for everyone but we are glad with our options and choices.