I think we've all allowed our emotions to blind us to the realities of arctic defense. Setting aside the fact that most of the business to be done so to speak would be offshore in any potential confrontation, Russia-US or EU-US. The very thought of defending a landmass as large and sparsely populated as Greenland with a handful of soldiers is laughable.
The Europeans are obviously just trying to make a point. Will it work. My bet is no. It's only going to irk people in Washington. But it's clear this is not a serious attempt at Greenland's defense.