I find that unbelievable. However, the way you phrased it, if there's one in 10,000 who cannot do either of the two, you are technically correct.
That said, there are more than two alternatives -- a parent needs merely to explore the matter thoroughly, and options will be found. There are affordable private schools; affordable parochial schools; scholarships; tuition assistance programs; and other things that people can cut from their budget, things of less importance than their children's minds and futures.
If I could not homeschool, I would sooner apply for food stamps, medical assistance or private charity, than entrust my child to the government and its educational system.
It's hard to imagine any conservative who is intellectually or financially incapable of homeschooling. They merely haven't given it sufficient consideration.
But again, there could be 1 in 10,000!
I pay my ex-wife (who was cheating and threw me out because she was moving her new guy in, so don’t bother lecturing me on the evils of divorce; I already know them) $1500 a month in child support.
I cannot afford to homeschool.
I would love to.
If we could afford it, I can guarantee we would.
So, please stop trying to imagine this perfect world in which every conservative is financially able to do what you do.