No one is suggesting that public schooling should not exist. I totally agree that every child has a right to education, but how does someone rich hiring a private teacher somehow conflict with this?

Child actors have had private teachers and have decades. Private schools have existed for centuries. Homeschooling is an excepted right.

Why should the rich not be allowed to home school using private staff or demonized for wanting to do so? Does anyone begrudge Mark Zuckerberg for hiring private security to help protect his family?