I appreciate much of your sentiment, we've used some flexischooling when we've been able: but your emphasis leans towards children being there to fulfill you rather than the reverse (or probably more correctly a balance of both).

There is a spectrum of characters in children, some don't respond well to homeschooling (or other non-school based education). Moreover, some parents don't have the knowledge, imagination or general wherewithal to be directly responsible for aspects of their child's education.

Children are also for society as a whole, as much as continuation of the species is considered a moral and necessary good! Even if you can't see them all the time there is still good reason to be involved in their being raised, educated, integrated in to the future of our species ... we could perhaps plan it all a bit better though.