[mindcrash]

They do not really care until the United States takes Greenland. Or NATO outright attacks Russia. Then they do care.

Because controlling Greenland means whoever has it gets excessive control over the Arctic Sea. And both parties, but especially Russia, do not want a party like the United States to have this amount of control given the Arctic is in their backyard.

[actionfromafar]

That sounds reasonable but it's not IMHO. What kind of control is that?

The US had military bases in Greenland when Soviet nukes had to be delivered with bombers flying over Greenland.

When ICBMs became a thing, those bases weren't as important anymore.

[mindcrash]

I'm not talking about military strength, I am talking about shipping lanes.

Something you can already see in Venezuela as we speak: The Trump Administration has essentially blocked countries like Russia and Iran to ship oil from Venezuela.

If they capture Greenland and can build a big Naval presence there they are in a great position to confiscate every cargo ship destined to Russian harbors in the north, and close off China's trading route in the Arctic aswell.