Scale isn't necessarily good. I went to a massive highschool in Texas and suspect I would have had a far better experience in a much smaller school whether it be a homeschooling co-op or a small public school (the latter didn't exist in my hometown, only massive Texan highschools).

And my best classes in uni weren't the massive lectures at the University of Texas but rather small summer school classes I took in a cheap Houston community college during summer break where I could actually interact with the teacher and fellow students.

Finally, HNers overuse "reinventing" as a pejorative. If you use a similar approach found in another option, and the HNer doesn't prefer your option over the other option, you're always "reinventing" it. As if some trivial thing in common between two options are the only would-be differences between them. It's not very thoughtful commentary.

Home-schooling could be 100% identical to public schooling except that it's not the local school system and it would still deliver on its goal of not being the local school system. That's the whole point.