The "Atlantification" of the European sector of the Arctic involves a large increase in heat content. That's why I have been suggesting that the Atlantic side of the Arctic will have more melting than we might normally expect in the next 6 weeks.
We don't have enough instrumentation of the Arctic so the uncertainty in our models of the Arctic may be higher than in the north Atlantic, but we know damn well that heat has been increasing on the Atlantic side of the Arctic over the past 2 decades.
Note that the heat content increase around Antarctica is mostly in the intermediate waters from 200 to 700 meters depth. The top 100 meters is cold.
The northwards expansion of the north wall of the Gulf Stream involves huge amounts of heat because the water is warm hundreds of meters deep south of the wall. Likewise, the southwards movement of the subtropical front in the Indian ocean involves huge amounts of heat.