Not to be pedantic (It's an unfortunate consequence of nuance), but just so you know, there is no country called "America." We have north, central, and south American continents with many countries; the U.S is one country in North America.
There is no other country on the American continents with America in its name.
I think of the United States as a reasonable shorthand because I believe in state sovereignty as supreme; Still unlike anything else in the America's. My terminology and ideas are considered antiquated, but I like to believe nuance is important, and the history of the terms we use can inform how we think about these concepts. "Often copied, never duplicated."