Not sure how true your story of public schools creation came to be, but this does not mean it has no good or need. It also does not mean anyone is forced into some sort of slavery.Socialists, who were very active in the public school movement, began operating in America as early as 1829, before the word socialism was even invented. Now their movement has push to all out communism. Were government schools established because private society and families refused to educate the children, resulting in lifelong ignorance and illiteracy? Were the motives of the reformers pure, selfless and concerned only with the well-being of the children? Surely, after these reforms were in place, school attendance rose, illiteracy disappeared and the quality of education vastly improved. None of those things happened!
No, government schools were not established out of any dire need for them but rather for a variety of crass religious, political and economic motives. They were not immaculately conceived but rather were born out of a toxic stew of religious absolutism, Prussian militarism, utopian socialist leveling and special interest greed and power lust. The main point is that relations among people in government schools are coercive and involuntary. Those with legal power tell those without legal power what to do. Those without power have little choice but to comply. Slavery
Now tell us about a country with no public schools and has an educated public please?