I've had a bad experience with wealth gone awry, and a devil of a time clearing it up afterwards.
The big problem was letting the players buy magic items from a white dragon's hoard (it was a 1E dragon, with the likes of 14 hit points, the halfling thief got in a lucky backstab - of sorts). So I think as long as you stick to keeping them from using the money to buy magic, it might work.
D&D tends to be built in a way that money is power - buying henchmen, goods, gear and influence that make challenges easier. If you can balance it with the greed, responsibility and taxes that go with such wealth, I think you and the players will have a lot of fun and it can create a lot of investment (hurh) that you can use as leverage later to temper the party's reactions to threats and events.