There could be a selection effect at play. When I was growing up (the nineties), there was a social stigma around homeschooling due to its association with creationism. I went to Christian summer camps until I was a teenager, and the homeschooled kids stood out even in that environment as by far the more religious among us. Whether they were awkward because their religious practices shielded them from normal life or because they were raised by naturally awkward parents that self-selected into a highly regimented lifestyle is a mystery.