Do you think there are many religious parents who choose homeschooling because it lets them reinforce their worldview? GP says he was raised in such a household, I have friends who were homeschooled for that reason. There are probably many religious people who just find public schools uncouth, but I think there are more who homeschool primarily for easier indoctrination. I don't think GP is automatically assuming anything about individuals, they're just pointing out that a significant fraction of the homeschooling population will come from Evangelical Young Earth Creationists.
Based on your comment, I would assume you are religious. Quite frankly, religious doctrines are anti-science, or more accurately anti-epistemology. The Young Earth Creationists are a dim example of this, but even your generic Christian believes in lichs based on two-thousand-year-old hearsay. You say this
> is a very outdated and frankly wrong stereotype
but why? It seems more true than any religion. I think you could make an argument that it's impossible to convince people they're wrong, so to avoid fighting you should avoid making such comments, but that's empirically not true.