Well, everybody born in the american continent is technically “american” too, including Central and South America. Is there a specific term in english for these people?
Edit: Thanks for all your answers, especially the wholesome ones and those patient enough to explain it thoroughly. Since we (South Americans) and you (North Americans) use different models/conventions of continent boundaries, it makes sense for you to go by “Americans”, while it doesn’t for us.
In southern European tradition (which ends up in Latin America), those are not continents but regions. America is the Continent.
https://en.m.wikipedia.org/wiki/Continent
Answer to the last part of your statement
Huh? That article backs me up?
Most English-speaking countries recognize seven regions as continents.
Different variations with fewer continents merge some of these regions
The six-continent combined-America model is taught in Greece and many Romance-speaking countries—including Latin America.
I’m sorry, I thought you were talking about the regions that matter. We already knew Latin Americans refer to it as one. Unfortunately, you have to convince Americans to change their adjective to whatever it is latinos prefer. Good luck with that.
Edit: if my point wasn’t clear enough, it doesn’t matter what romance language speaking countries call the Americas (North and South). You can see that from the same article you cherry picked the info you copied and paste above