Bitcoin does NOT have scarcity because it is capped at 21 million. This is like saying that O2 molecules have scarcity because they are put in a container that by that definition can take only limited number of those molecules. In the same way Nakamoto put limited amount of numbers (21 million) in their container and gave them the name bitcoins. That doesn't make these numbers scarce, because numbers are all around us, just like O2 molecules.
I'm afraid I don't agree with you about this. Scarcity is simply a characteristic of anything (resource, money, time) that directly relates to its supply. Bitcoin is capped at 21 million. There can only ever be 21 million coins in circulation ever. No one can mint more. Thus it has scarcity. It like renewable energy vs non-renewable. Non-renewable energy has scarcity as there is a limited reserve of non-renewables. Ideally renewable energy does not have a scarcity as it is a constant supply. Thus technically the cost of renewables is simply manufacturing costs. Whereas for non-renewable you would be factoring in supply vs demand. Thus supply/demand dynamics also relate to Bitcoin because of its scarcity. This is what gives Bitcoin its value.
P.S. You can transcribe value of one resource only to another resource. Because resources provide utility and it's is utilities of the resources what is transcribed.
Bitcoin is a number that you get next to your address, not a resource that provides utility which is why there's nothing to transcribe to.
The dollar or any fiat is essentially backed by assets held by the central bank. Thus the value of the dollar is determined by the assets that it is backed by. I think perhaps what you mean is that Bitcoin has no asset backing it, like the dollar or other fiat. But that is because Bitcoin is largely an asset, not really a currency.
But bitcoin is a number. Numbers are infinite in quantity. Just because you set up a protocol that the maximum sum of numbers in your system is 10, that doesn't mean units of that number are scarce. Units of the number 10 are numbers. And numbers are infinite in quantity.
It's literally unbelievable that you people cannot comprehend something so simple and because of that you buy numbers that everyone can create in their mind and put on whatever media.