It works for a lot of people. And in a lot of games.
Heat Signature has "Rich" characters and they can often go straight into their (generally really tough) personal mission.
And Streets of Rogue literally has an unlockable "Upper-Crusty" character who, by virtue of being rich, can literally beat people to death in front of a police officer and actually get help from said police officers.
Though, admittedly, it's probably harder to imagine a case where being rich in a game wouldn't be an amazing boon.
Your own...?Ah, no... I bought this with my own money...