Ppl in the bitcoin black hole node would over value sats relative to the rest of the world. The rest of the world would come in and buy them out of all there real resources for less because its cheap relative to the normal market
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These buyers would first have to sell fiat and buy bitcoin to do that, increasing the fiat price of bitcoin outside. They would also leave their fiat providers, which then would be attracted to the black hole node. Participants could each one set a limit on how much they feel comfortable to sell using the new reference.
Do we need to measure things in fiat forever? Or was Bitcoin born ready for the step of the black hole node?