> What about the kids whose parents won't ever take them to one of these spaces/libraries?
What about them? There are plenty of children growing up today that either don't go to school, get expelled, or refuse to learn anything. I don't see the difference. The percentage of children of going to these places? What about the last 5000 years of human progress? Surely they progressed without mandatory/forced state education. Would you agree with yourself if we were all in North Korea knowing what we know? That's the problem with hypotheticals, you can expound ad infinitum.
> The problem is that for a percentage of children (varies by country, but quite high in the third world), handing the responsibility of their education to their parents is even shittier.
Which doesn't matter. The question isn't what's more economically efficient or favourable to higher literacy rates. It's a matter of morality. If the state requires me to let them raise my children, and threatens me with force if I do not, then in your opinion, who's in the wrong?
Now of course, things need to be in context. But you can't simply make an assertion that the state will always be better of a parent to a child than even a poor or illiterate or even neglectful parent. The problem with the ability to exert pressure on persons to send their children to public schooling is that it violates a natural and historical bond, and replaces it with "the monopoly on violence" in the name of justice. Always in the name of justice.
Ask yourself this, if you're worried about children becoming illiterate, then surely you're worried about children joining armies to fight economic wars, children being locked in prison for nonviolent crimes, and children being used to scapegoat authoritarian measures right? What about the children -is not a defense between the DPRK threatening to take my child because I won't permit them to indoctrinate her.