Another false distinction. Wealthy parents go out of their way to live in catchment areas with other rich parents, specifically to curate who their kids interact with.

Government schools are not even a little bit random. They are for the families that live around them.

Sure, but parents don't select a random subset of peers like school does. Do you think the presumably wealthy parents of homeschooled children will make sure their kids are interacting with poor families? Because those aren't going to be at the private extracurricular clubs.

lrm_btc

You're presenting a false choice. There's no reason homeschooled kids can't spend time with their peers and they often do.