More snow cover means more heat from the sun being radiated back to space.
More heat radiating back to space means more cooling.
Maybe the scientists have discovered one more balancing mechanism that keeps the earth's climate in a relatively stable, and liveable state.
The warming at the pole that they’re talking about is water driven and has little to do with the Earth’s albedo. The Gulf Stream and its Pacific cousin, the Kuroshio current, take warm water into the Arctic. Their theory is that melting ice in the Arctic Sea exposes this warm water to the air. (Normally, the ice acts as an insulator.) This then causes more rising air that, in turn, meets upper level air that is descending. (That air was warmed at the equator.) This all works to disrupt the flow of the jet stream. The bottom line is that it’s not being caused by some soccermom’s SUV.
That is reflected, not radiated, but your point is valid. Also to the same point a warmer Arctic due to the wavy jet causes more heat to be radiated in winter which also results in global cooling.