Why should that be true?

The point is that as long as the UoA is USD, all prices are fiat denominated in the eend

Telling yourself, "this is BTC-denominated" just glosses over the fact that it's actually BTC-price denominated. Which of course is a USD price.

What we're after is a stable UOA that actually can be used to measure. Until we have that, no prices actually accurately measure the value of a commodity

only in an arbitrary fiat way.

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I understand the need of stability in an UoA. Many of us grew up with usd, many companies set their prices in usd, it is easy for many to imagine the true labor cost/asset price in usd.

I guess when the usd goes the way of the German Weimar Republic, then it will be more practical to measure in btc?