The US has worked to prevent this. I remember as a kid in the middle east (a time/place where everything was in cash) seeing commercials from the US that said, in effect: "We are printing new 100$ bills. The old ones will be good _forever_. Don't fall for scams selling new bills for old."
Even at the time I thought those commercials came from a good place. Being a world currency sometimes going the extra mile to protect not just its value or exchange rate, but the reputation of its physical manifestation.