Yes, that is one use of the demonym “American” in a modern, geopolitical context. There are other contexts and other uses when it has different meanings. Asser

Yes, that is one use of the demonym “American” in a modern, geopolitical context. There are other contexts and other uses when it has different meanings. Asserting it has that meaning when used in context of a time tens of thousands of years ago is nonsensical.