What i learned in school was how awful people can be. The extremes where we humiliate and torment others. The mindless churn to be in a clique and simply fly under the radar.
Slight tangent, but: In my view a parents jobs is to let children fail with a safety net. To be there and help them recover after failures are experienced together, to grow from them.
Public School, in my view, does none of this. It attempts to educate, sure, but not in socialization. Likewise parents, even the well executing ones (by my definition) cannot share the experiences. Parents can only see the aftermath and try to mend some wounds.. but the growth is up to the child, in isolation.
I don't know the better solution. I don't have the answer. All i know is that in the context of how i judge parenting, school fails entirely on. School is lord of the flies. Many prosper. Many drown. Many could grow, if only a guiding hand existed.
Clearly i'm a pessimist here. I'm also not having children, which may not surprise you. Hah.