Can a finite item economy make a game more fun?

My definition of a finite item economy is an economy where there can only exists fixed max number of items of a specific type at any given time. An example of this would be the minerals in Starcraft 2. The vanilla WoW PvP ranks and in Ultima Online almost all resources

My reason for asking if an finite economy can make a game more fun is because while it still works in RTS such as Starcraft both WoW and Ultima Online removed the finite part after complaints from the players. Could as an example League of Legends be built around the idea of having a fixed number of items available?