I wasn't homeschooled and it's not legal to do it in my country even, so I have a bias. That being said it seems weird to me that parents in the US seem to consider that they "own" their kids to a much bigger degree than some places in Europe at least. I don't have kids but I think most parents around me growing up had a sense that their kid also belongs "to society" in a way, and going to school and learning about w…
But, to bring the culture wars into this, how do you feel that you have joint guardianship of a child whose parent fundamentally disagrees with you? With our church group, I trust the parents to discipline, to entertain and to teach in a way consistent with my beliefs, even if they're very different people. On the other hand, my next door neighbor is convinced my daughter is a boy because she likes trucks and would like her to be trans, like she has already transed her son. When you perceive other adults attempting to abuse your child and this is a common enough movement you're not going to be able to feel any joint sense of guardianship. And it's not just culture issues. Unsurprisingly, neighbors children are also poorly behaved, disrespectful, and never get told no.
America has fully embraced multiculturalism without assimilation, so there are now dozens of cultures, so no sense of joint guardianship over children.