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It's not like there is no downside at all to homeschooling. It has both advantages and disadvantages. My younger son is now taking Latin from a teacher with PhD in Classics from Harvard. There's no way I could offer to my son what this teacher can. His current physics, math, and history teachers are way better at teaching these subjects than I could ever be. And I can still spend time with my son teaching him my values and the things that I know about myself. So it's not like he doesn't learn anything from me just because he's in school.
I have sent my two sons to a combination of private school, public school, plus I home schooled my younger son for one year. Mostly, they went to public school. For elementary school, it was okay, but not for high school, where the older was in a class of 45 for second year algebra. Not okay! I think homeschooling the younger one for that one year was absolutely the best thing I could have done for him at that time. And I wish I had homeschooled the other one part of the time and been able to send him to a private school, but at the time, it wasn't possible. I respect home schooling and homeschooling parents. (It's not for sissies!) But none of these choices is a perfect solution. Homeschooling has some drawbacks and the biggest one is that no parent can be as good as the best teachers in advanced subjects such as science, math, and languages. I think the right choice depends on the schools available and the parents, and the kids too, of course. And of course, sometimes, parents CAN'T homeschool because they have to work. That's a reality too.
Asking
And I agree with the gist of what you are saying. But for me, there is another benefit of homeschooling which outweighs them all. I get to teach my children my faith.