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 What's a "stable currency" if the underlying UOA is fiat without a consistent monetary policy?

Maybe I don't understand the point you're making. 
 A currency that doesn't inflate. The cost of goods (NOT nominal cost) goes down but is not reflected properly in the inflating currency. It IS reflected in a non-inflating currency, all things being equal (which they aren't though) 
 OK I think I see the clarification you are making.

doesnt having the non-inflating currency denominated in an inflating one make things EXTREMELY "not equal"?
by which I mean accurate pricing of everything (including the non-inflating currency) becomes difficult if not impossible.

which is why I'm making a case that a non-inflating currency should be UOA.

and that its important for bitcoiners to recognize that pricing is all kinds of fucked.