> I assumed the terms are basically synonymous in the UK?
No, 'public school' would be understood to refer only to the most elite of private schools in the UK, such as Eton, Harrow, Winchester, etc. A run-of-the-mill private school would not be considered to be a public school.
No, 'public school' would be understood to refer only to the most elite of private schools in the UK, such as Eton, Harrow, Winchester, etc. A run-of-the-mill private school would not be considered to be a public school.