when the “America” in that name actually refers to the continent too
In English, there is North America and there is South America. Collectively, you can call them the Americas. Just “America” on its own refers to the country. It doesn’t matter what A-M-E-R-I-C-A mean in a different language. Spanish has what is fundamentally a different word, with the same spelling, to refer to something else. In linguistic terms it’s a false friend. The etymological origins are, indeed, the same, but it took on separate meanings in different languages. Nobody is confused about this, however. You’re just being an asshole.
It’s really not but you already know that, just as you know the (s) is incorrect because, in English, there is absolutely no such thing as a continent called America.
It’s about you being a hypocrite and accusing a group of people of acting like the center of the universe because they use a word differently in their language than you use it in yours. You are being incredibly disrespectful of other cultures by trying to impose foreign definitions on how people describes themselves.