It boils down to the same thing. Inflation is nothing more then inflation expectation, as people change their behavior as a result. The fact that fiat is moving towards 10% inflation is a direct result of a reduction in trust in it as a store of value. People expect it to be worth less, and as a result it is. If you look back over any period of time you have a constant erosion of trust in its ability to store value since its inception in the 70s. For cryptos its the opposite.

You can make the argument about different market sizes though. But the trend in both directions is clear.