This is why British fee-paying schools are called 'public schools', by the way --- they're open to any member of the public who can pay, rather than being open

This is why British fee-paying schools are called 'public schools', by the way --- they're open to any member of the public who can pay, rather than being open to only a certain subset of the population. Plus public schools were under public management (a board of governors). I believe there still are some private schools (UK sense) in the UK, but I can't find any references.