Maybe not but purchasing power very clearly gives people more freedom. You may not be able to quantitatively measure freedom but you can tell someone who chooses to work for fun, rather than to make ends meet, is more free.
I didn’t say famous. But even famous people can afford to change their appearance and become a nobody again. And rich people can more easily become famous than poor people. If you believe Epstein is still alive like I do, then he may have changed the way he looks through surgery.
Literally the whole point of money is purchasing power. It gives you options to get the things that you want. More purchasing power is always better than less.