Surely, this can't be true. For most of human history, children may have learned to do whatever their parents did behaviorally or vocationally, whether that be to become a forager, farmer, peasant, nobility, whatever, but almost nobody ever received any kind of general-purpose, primarily academic education, and whatever they learned, they learned by following their parents around and doing it, not by structured, formal curricula.
I'm sure homeschooling can work out fine, but that is hardly assured by simply being inline with historical tradition. If you go to war with broadswords and spears, you're going to lose. If you insist on living without indoor plumbing or refrigerated food storage, you're likely going to have your kids taken away, and rightfully so, in spite of the fact humans lived that way by default longer than not.