The EU knows beefing up Greenland security is crucial for them and too cheap to pay for it

Greenland guards Europe from access by Russia and China by sea on their WESTERN shores. Far worse would be Russia and China gaining footholds in Greenland making their attack by sea on the western shores of Europe even easier. In addition over time polar sea lanes have become easier to access. Access by the US and Europe would be easily protected by a strong US presence in Greenland. Although there aren’t many of them Greenlanders benefit. Neither them or Europe has the means to provide the necessary military security. The life of Greenlanders themselves will be not harmed by changing oversight from Denmark to DC. If multitudes of people wanted to emigrate there they already would have. For the same reasons there won’t be mass emigration from the US. Greenlanders will have enhanced personal wealth, job opportunities and a vastly improved economy and infrastructure and be well paid to receive that benefit. Both Greenland and the US will benefit from the processing of rare earth reserves. A win for Greenland, a win for Europe all paid for by the US. The US benefited from the Louisiana purchase and the purchase and the Alaska purchase. This transaction will be the same.

A glance at the polar map provided clearly shows the proximity of Russia and China using Arctic sea lanes and the potential of command of those sea lanes by a strong US military presence there.