Money wouldn’t be rare. Under the gold standard a very large portion of the money supply was “bank money”, “credit money”, money that wasn’t backed by gold. No one has ever used a 100% gold backed money supply.
The distinction between money backed by “specie” and money that was “credit” had a meaning under the gold standard, but wasn’t noticeable in daily affairs.
Von Mises book on money is “The Theory of Money and Credit” because it was written when there was such a distinction.
Well we have credit vs non credit money now. But not sure how fixing the amount of rral wont have some effect on its how rare it is