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Not intrinsic but very highly correlated with WHY they are home-schooling in the first place.
They are Evangelical young earth creationists.
Your thesis seems to be that religious people are anti-science, which is a very outdated and frankly wrong stereotype to be pushing in 2024.
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 is a very outdated and frankly wrong stereotype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.
However, you've now moved the goalpost by stating that "religious doctrines" are anti-science. That wasn't the original argument. We're talking about whether or not religious people, who homeschool, will necessarily produce scientifically ignorant children.
Nonetheless, the more I think about this, the more the conversation is pointless because we'd spend an eternity working out what scientifically ignorant looks like. A person may agree with 80% of the scientific theories in the world and disagree on 20% and someone might say that makes them "scientifically ignorant." Which I find amusing, considering the amount of fraud going on in modern scientific journals.
Because in the US this is largely true. And young earth creationists are most empathically anti-science. I know because that is how I was raised and I have rejected all of that nonsense.