Interesting thesis you laid out there and i do agree that UoA is important, however it's pointless when the said commodity/good isn't already a MoE first. Displaying or looking up BTC denominated prices won't inspire/motivate transacting in BTC imho. Prices are exchange ratios, and the use of money as one side of almost all exchanges does not change this fact. For anything to be recognized as money, it must first and foremost be a MoE and everything else follows from this, include it being a UoA.
What about jumping to unit of account first? This will be even more terrifier. Our thesis: https://stacker.news/items/1292554
Discussion
The idea includes using the rate of total world wealth divided by 21 million for pricing. It is a total different thing from merely displaying today's bitcoin price calculated based on fiat. I have tested the analysis of the idea on several AI models and all said it could work and seems revolutionary.