My point is that Bitcoin (a specific ledger with a specific number of units and a specific schedule of issuance) was invented, could easily have been invented differently, and thus is not truly scarce.

I can make Bitcoin 2.0 which takes the exact same source code but only ever issues 100,000 units.

Should my Bitcoin 2.0 be worth 210 times as much as your Bitcoin 1.0? It's 210 times as scarce but with the exact same properties