Of course, if money really was made to disappear (at least from the consumer economy), then it was apparently seen as fundamentally evil somehow. Not just unnecessary, but evil, the same way eugenics is evil nowadays because of Adolf Hitler.
Picard speaks very derisively of wealth, accumulation thereof, and the profit motive (say, in "The Neutral Zone" and "Starship Mine"). A society of Picards probably wouldn't want
to compensate people for their "loss", but punish them for having possessed all that worth in the first place. And such a society would be careful never to refer to its currency as "money", when it's easy to invent euphemisms of all sorts...