You should not be downvoted as you are correct. While all UK schools known as "public schools" are private, most private schools are not public schools. You ar

You should not be downvoted as you are correct. While all UK schools known as "public schools" are private, most private schools are not public schools. You are right that what constitutes a public school is hard to define, but I think membership of the Headmasters and Headmistress' Conference is the usual definition.