Edit: More generally, parents are responsible to a large degree for their children's fate, as the importance of domestic environment in the research repeatedly shows. The question is what (if anything) we should do about this, exactly?
Edit 2: Come to think of it, using authority over parents in this way could constitute cultural genocide, for instance as it was perpetrated by the Canadian residential school system. Funny how casually it can be suggested.
Just in case you have not noticed, we do that nowadays, to combat child abuse. Giving parents 100% unrestricted power over their children would enable horrific child abuse, selling your children for slavery etc ... Funny how casually it can be suggested.
The answer lies in the middle, as the parent post suggested :)
Child abuse is pretty well bounded and defined. Ranking of cultural values is certainly not.
Perhaps that's true if you believe that parents should be the only ones responsible for their children's fate, but that puts a lot of power in parents' hands and doesn't leave much with the kids themselves.
I think there's a middle ground between complete standardization and complete reliance on one or two individuals that prevents the worst outcomes, although it may also prevent some of the best possible outcomes. But generally getting input from a number of different sources is a good thing, and even if "authority" may not be great at comprehensive development of varied individuals, it can still set minimum standards and make sure the child isn't entirely subject to their parents' whims.