This idea the parents take most of the responsibility for the achievements of their children is absurd.

There's also the flip-side of that attitude. It sure must feel nice for parents to be able to congratulate themselves when their kid excels, but what about when their kid has a disability or a developmental impairment? Who is responsible then?

It's easy to be a parent when your kid acts and responds the way you want them to. Parents of neurodivergent kids can go above and beyond for their children, yet despite that they'll still be given dirty looks and treated like pariahs when their overstimulated child has a public meltdown.

Kids aren't raw lumps of clay that parents can mold to perfect shape. The best any parent can do is guide them toward success.

Coaches do have quite a large impact on teams, they're the ones who study the opponent, formulate strategies, and then translate that into a training regimen.

In so far as being a kid is playing sportsball the coach is primarily the genome, then with some distance culture (takes a village and everything), and then the parents. You can praise a parent for having the wherewithal to introduce their kid to spaced repetition software, you can't praise them for the kid feeling inclined to learn six languages before the age of 14 that was all the genome spotting a niche, adapting a suitable individual to serve a role by making it excited.