So long as there's an ability to make an additional score, there is no limit to the capacity to award points. No valid score will lack a point award for lack of points.
The same capacity exists in an economy with a fiat currency or infinitely extensible government credit (equivalent statements FWIW). There is no limit on the government being able to award additional monetary units (points). What's upwardly bounded is the ability to produce real wealth in any given period.
The analogy breaks down in the sense that points aren't transactable; there is no basketball economy in which teams exchange points for economic goods and services and engage in entrepreneurial activities to develop new point-scoring abilities within a game. And in basketball, if a score is made, the point is awarded automatically, rather than being exchanged in a market.
But so far as the concept of points and monetary units not being constrained by any physical quantity, the similarity holds.
I agree largely with your second paragraph, and add to that:
"Wealth, as Mr Hobbes says, is power."
-- Adam Smith, Wealth of Nations