It is technically more scarce, no need to for the italicized "think". It inflation goes down, and the result is a more scarce asset, the total supply is constantly shrinking, and the fact the block reward gets cut in half makes it more valuable instantly. The pump will be epic.
Only the supply becomes more scarce, not the amount of coins. This is what I was trying to point out. So the value doesn't go up because we have suddenly less coins, but because the inflation value goes down a bit. And probably the main influence is because people think that we will have less coins and hence they should be worth more. So the value increase is not because it is suddenly worth more, but because people think it has a higher value (or will have).