The problem for EU states with the 'Greenlanders should decide what's best for Greenland' line is that they disabuse the likes of the Basques, Catalans, Bretons, Welsh, Scots, Ulster Catholics, Sámi, Walloons etc. of the same privilege
Trump and his Kleptocractic cronies are too ignorant of the nuances of European minorities and ststeless nations. So this isn't in any way tactical on their part
It does help explain however why the response from EU states is muted