You are free to call yourselves whatever you like; I prefer to distinguish between inhabitants of the USA, inhabitants of Canada, and inhabitants of Guatemala.
And for clarity: no - I'm not trying to wind anyone up.
"We" can speak for ourselves, I guess. I think anyone that knew me would laugh at the suggestion I was "woke".
Yes, I understand the derivation of "American" from USA. Thanks for explaining it to me, though; I'm sure most people here had no idea that's how it is derived.
And yes, there are other ways to refer to various different inhabitants of the American continent. "Chileans", for example.
I'm not telling others how to speak; they can speak however they choose. I was berated for referring to inhabitants of the USA as USAians, because I consider "Americans" to be the inhabitants of the American continent.
Feel free to call me a pedant. I'm a proud pedant. You can even call me "woke" if you like; it's water off a duck's back.
And for clarity: no - I'm not trying to wind anyone up.