I think that just about everyone has dreams that can be solved with more knowledge and skill. The path to achieving these isn't always very clear though. The school should be the organization that gives you that clarity and supports you.
I fail to see how this won't devolve into parents that have more time to devote to their children's education through encouragement, steering, tutoring, or paying for the same having a better outcome. And since I think having more money is causal for having more time, I think that's just a way to make the problem worse, not better.
On some level, I think that if the kids need tutors, the system is broken.
What you describe would be good to reduce the advantage of wealth on outcome, but it's also papering over how hard the problem is. The real problem is getting from here to there. It's akin to saying "well, just eliminate racism." Sure, that's a good idea, nobody should object to that. But it's not like we'll wake up a year from now and say "problem solved!". As a simple example of this, we probably can't make good computer tutors for kids without somewhat good AI. That's not exactly an easy problem to solve.
Wealthy families will be able to pay a better "person who helps", or send their children to a better high school to study optical engineering. Fundamentally, wealthy people will always have access to better services.