What do you mean 'in a deterministic sense'? That's the part of your post that I did not understand.

Bitcoin is a long term store of value by design, given that it doesn't have the issues that fiat currencies are faced with in terms of the ease of which the value of fiat currencies can be debased simply through centralised manipulation.

Even if bitcoin doesn't necessarily replace fiat, it will be of value in the sense that it'll provide a stable, save haven type global asset for people to hedge against inflation in fiat, especially in countries which suffer from hyperinflation. Perhaps that's the answer you're looking for.