While I agree with the main point you're making, I have to note that likening school playgrounds to markets is a questionable analogy. Schools are far closer to prisons than markets - in fact, I can't come up with a single way that school playgrounds are similar to markets other than the fact that they both involve humans.
Kids can’t switch their own school because they’re not their own legal guardians until they’re 18. You can’t switch nationalities just because you want to. That doesn’t make your country a penal colony.
You can OBVIOUSLY it be in school. No country on earth forces kids to join any school (let alone to attend it).
Most people didn’t choose to be at their jobs and hate it, the main way out is waiting for retirement.
Maybe this varies by ___location but at least in the UK, adults can usually leave the grounds of their place of work during a lunch break. Not true for school kids. And the difference in population density between schools and offices is usually stark.