That seems counter-intuitive. You are looking at incredibly large corporations that came full form in a few decades only, and I'd wager their founder succeeding at the first try might be part of the whole miracle. Companies that mildly succeed could come from less miraculous founders who needed a few more tries.
> Even rich kids go to VC
It's more on whether they can effort to "waste" a few years in a startup instead of trying to build a career in a more stable company.
They also don't need social branding: if you're trying to get a loan for your mortgage, working at IBM will help a lot compared to some random stealth startup.
It's the same reason you'll find more well-off kids trying to make it as actors. It's just a risk most poor kids won't take.
> due to the skills you developed and not mere luck
It doesn't have to be a dichotomy of one or another. Just don't publish a book to tell the world "look at me: just work hard enough and everything is possible"