I know several very successful entrepreneurs and I know quite a few people with rich parents. I don't see much of a correlation.
In my perception many of the rich kids lack the drive to work as hard as you need to, to become a successful entrepreneur, instead opting for a safer route. Granted, if you are from a really poor background and live in the US without much of a social safety net, I could see how that could hamper your prospects, but that's hardly a problem where I'm from.
Most people are lazy, rich kids already don't have to work. So if they happen to be driven enough to try they can take on many more risks and start more businesses.
If you're surrounded by entrepreneurs (such as SV) it's not a representative sample. Even being born "middle class" is a narrow slice of humanity today, much less everyone ever born.
As of 2019, to be in the financial top 10%, you needed a HOUSEHOLD income of just over 155k. I think that many around here are so utterly out-of-touch with the lives of most people in the US that they can't even reason about the blocks they have to advancement.
In my perception many of the rich kids lack the drive to work as hard as you need to, to become a successful entrepreneur, instead opting for a safer route. Granted, if you are from a really poor background and live in the US without much of a social safety net, I could see how that could hamper your prospects, but that's hardly a problem where I'm from.