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There is a difference between having some inflation and "printed to infinity".

One big question is if there's an incentive to print to infinity. With states it certainly becomes a lot easier, because the citizens don't necessarily have the power to oppose getting ripped off.

With a different system, the incentives might theoretically be such that everyone loses out equally and clearly so. Then at least there's much less to fear, even if the risk is not entirely mitigated.