A protest sign I saw is an apt response to the situation:
"Why should we go to school if you won't listen to the educated?"
"Why should we go to school if you won't listen to the educated?"
Now, perhaps your point is that the formal education didn't matter, that is, you could just as easily have learned the same thing by informal means. That is true, if you had the self-discipline or curiosity to do so. While you may have had that, and I did, many who attend public school do not. The things they learn are still of value to them.
Not to mention someone could be educated and right about one thing, and completely wrong about something else.