If the citizens in those countries prefer to use our dollars to trade in their countries, then basically we are getting their goods and services for the paper we printed out money.
Point of information: Money is mostly not printed on anything. The vast majority of money today exists as numbers in a computer, and the marginal cost of producing more money is therefore zero.
So you are getting those goods and/or sevices for
nothing.
Complaining that getting stuff for nothing makes you "feel bad" seems to me rather churlish, not to mention foolish.
This is a very short sided view and it is better for the billionaire class, I will give you that. But this arrangement is far worse for the labor class (far outnumbering the billionaire class) whose subsistence depends on their labor. Because their ability to support themselves directly depends on what they actually accomplish and produce. That class no longer has any local production infrastructure so they are left in the cold.
But far worse is that the rest of the world will not indefinitely produce goods for nothing. The free ride for the billionaire class will not last forever. One can see the free ride ending simply by looking at interest expense of the federal debt becoming higher to the point it outdoes federal tax receipts. That is when the rest of the world finally wakes up to the dollar only being pure fiat and nothing more. This consequence will be devastating and dire for the US. The cost of imported goods will sky rocket with no local means of production making the US instantly a 3rd world economy. In the final analysis, it is only real assets and ability to produce goods and services that matters to sustained well being of everyone.
As my economics professor said, "Anyone who is worried their fiat currency is worthless is welcome to leave it with me."
We could use some kind of rock as a store of wealth. It needs to be fairly rare and easy to identify. It's rarity means your economy can't exceed the number of available rocks. Anyone without a rock has to go back to some kind of barter system for goods and services in order to survive. This is quite inefficient, especially when long distances are involved. If I need lumber, I might be able to trade potatoes for it, but only if the guy who has a desirable tree lives somewhere close. Maybe he doesn't like potatoes and I'll have to find a tree somewhere farther away. I have to act quickly because potatoes don't last forever. The time it takes to carry the potatoes to the tree and then drag the tree back is time I could spend planting potatoes. This is all because I'm digging potatoes, not gold.
In a really dire economic crisis, my sack of potatoes would be worth more than a sack of gold because I can eat the potatoes and the other guy can't eat his tree, any more than he can eat gold.