And why would you do anything in such a society ? What's the incentive ?
Avoiding mind-numbing boredom comes to mind. Holo-potatoery isn't going to appeal to everyone.
The conceit of the Federation isn't that there's no money, it's that they've somehow made work fun and fulfilling.
No one wants to empty the bathroom recyclers or scrub the warp coils but plenty of people would love working on a starship in other areas.