Mc Donalds is open to the public. **Anyone** can use their services. Age, where they live, race, creed, sex, sexual orientation...none of that matters to the managers of Mc Donalds even one twit. Anyone can buy stock in Mc Donalds and therefore even become part owner.
Government schools are HIGHLY HIGHLY HIGHLY restricted regarding who can or can not use their services.
As for the terminology ( government school or “public”), the fascist government school defenders have lost that battle. Conservatives have conquered that language battlefield hill.
Didn't you use public education for your children when it was CONVIENT for you even when a private school was available?