Lottery winners have had no experience in managing wealth, often have had years and decades of being impoverished and wishing for products like jewelry that was always out of reach, and then they get inundated with money. They found that who marshmallow experiment was literally kids who have their needs met aren't rushing to consume what's in front of them and that patience pays off.
You're not making any argument here other than when you're born wealthy you're more likely to be wealthy, and that we know.