Danish "rule" has been really light since WWII. The locals are for all purposes independent except they get a lot of money from Copenhagen (akin to how Northern Ireland gets a lot of money from London); they can maintain their language and culture. I don't see any benefit for them to be de jure independent (in contrast to Catalunya where I see some benefits)
I wouldn’t think so. I was referencing the line in the article which said that an independent Greenland would be the poorest country in Europe. I would not have considered them in any way a part of Europe without the legalistic Denmark connection.