Yes, if the people identify as Danish you can’t just change the flag and expect them to be Americans. When I went to the Falklands it was very clear that it didn’t matter how badly Argentina wanted the islands. Even if Argentina managed to conquer the islands militarily the islanders had decided they were British and that was that.
Expected by who? The original comment I replied to said that Danes offered no resistance to Nazi occupation, as if that were to be expected without stating why.
Maybe you're mixing that up with Poland? Nazi rule in Denmark was popular and internment camps there we're similar to US ones of Japanese, Italians and Germans, and similarly in the US there was no resistance either.