Most people are able to infer—by context—that someone saying “America” means US if the topic is the US. They are—to some extent—colloquially interchange, given context. I just didn’t say it myself because it isn’t normal nor natural here. Again, sorry to everyone hung up on my phrasing because it’s a non-issue as far as I’m concerned. Call yourselves and think of yourselves as whatever you want. You have my blessing and approval.