I haven't watched the video yet, (nor do I have time to anytime soon) but as a former homeschooled kid who grew up and sent her kid to public school this is my experience/guess:
1, Homeschooled kids do better in college
2, Public school parents don't love their kids as much (this is implied rather than outright said, but implied heavily and often)
3, "They'll indoctrinate yer kids! They'll turn them gay/socialist/satanic!"