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Well your notion that it will still be volatile after fiat is dead is very foolish, not because there won't be variation in time for demand for money, but because volatility will be incredibly low, far less than any other good so it is obvious how it will be the unit of account after hyperbitcoinization.
Now, others here will tell you that as well, but where they are foolish is in having overlooked the true nature of unit of account in its entirety, and they have brushed it off no differently than a nocoiner brushes off bitcoin.
I have figured out the truth about unit of account and it is a lot more interesting than most people think (I skimmed through the replies and no one here is even remotely close to asking the right questions). The question and the answer is written down here: https://heaviside.substack.com/p/the-forgotten-fourth-function-of