Earlier quoted context omitted.
America is a pair of continents, not the name of a country. The US federal government doesn't hold a trademark. The notion that companies shouldn't be allowed to name themselves after geographic features or political regions is absurd.
In the US, if you ask 100 people what "America" is, they'll tell you it's the name of the country they live in. And since language is defined by use, yes -- America is the name of a country. The shortened version, of course, just like "Mexico" is the shortened version of the "United Mexican States". Surely you're not going to claim that Mexico isn't the name of a country either? And no, "America" is not a pair of con…
I do agree though that it is not so ambiguous really in the case of America, the Americas, North America, and South America—because there isn’t a singular “America” continent to refer to (unless we want to dip into the nightmare that is counting and naming the continents; Europe is a subcontinent, I’ll happily die on that hill). But “American” seems a little ambiguous, what else should we call somebody from the Americas, if we want to refer to them in that context? Nobody would say “An Americasian.”