Your friend who owns a house in Chamonix and will let you use it for free during your vacations, your friends CEO of a big company who will give a high level internship to your son, your friends starting a new company and asking you early if you want to invest in it, etc...
When you're rich, you get to swing several times at the ball. When you miss, you fall back to your wealth/family to support you while you save up for your next swing. Then, when you finally hit, as you're running the bases you can boast to everyone about how self-made your success is.
When you're filthy rich, you have infinite at-bats, and basically it doesn't matter how good a baseball player you are, you're going to win.
What I was speaking about was the simplistic "more of X, more of Y" approach of the OP, though I understand that it was mostly sarcastic in nature.
I would even argue that there is a sweet spot where you have enough money to live comfortably, but not enough to be a promising scam/crime target.
You also have access to specialists. You can hire a lawyer, people to help you with research, people to help you present yourself on social media.
In the end, you can extend your day and improve your productivity significantly, resulting in more hours available "to get lucky" effectively. I mean, being lucky when washing dishes does not help a lot, but being lucky when shopping for business opportunities...