Could a Bitcoin Standard in the U.S. Limit its Military Spending Against Fiat-Powered Nations?

Hey guys, just a hypothetical I've been tossing around in my head. Let's say, years from now, the U.S. fully embraces a Bitcoin standard, while China sticks to the Yuan and continues to ban Bitcoin. If a conflict arises between the two superpowers, the U.S. might have limitations on its military expenditures due to the nature of Bitcoin, whereas China, with its fiat currency, could print more money (essentially stealing from its own citizens) to fund the war effort. Does this set up a scenario where China might have an upper hand due to its monetary flexibility, potentially influencing global politics? Kind of reminds me of Gresham's Law, but in a geopolitical sense. Just mulling it over and curious about your thoughts.