This is an novel thought, but I don't see how this does much to mitigate agent expectations as regards the valuations of real assets, which is the underlying issue here. Theres also the question of how practicable such a scheme could ever be with global capital markets.
I've done some reading. This idea is about refining the concept of money, to give control to the agents and remove the untrustworthy and incompetent regulatory control. Interesting indeed. However the mechanics of maintaining stability as described by Hayek are largely the same, it's only the controlling party who has changed.
Edit: And back to the point - Bitcoin has no controlling party, it cannot be manipulated in this way at all. It cannot respond to business cycles.