Interesting, so your point would be that the dollar is used unofficially as a trading currency in multiple countries. Because as you know, dollars are only good in the USA which means somehow they are coming back... thus inflation. So your theory would then suggest these black markets are somehow impervious to the laws of money supply.
Not true for a large fraction of it. There is a reason it is called "reserve currency." It's used for trade.
Black markets the world over accept dollars.