Later, Prince Arthas defeated Kilgardan, one of the leaders of the Burning Legion, went to Northrend, the hometown of the scourge of the undead, and destroyed Illidan, the frozen throne. He boarded the frozen throne, broke the ice coffin that imprisoned the lich king's soul, and released the lich king's soul (and the lich king died). And put on the crown of the Lich King and became the new supreme commander of the undead scourge (WAR3 Frozen Throne Edition tells this history).
As can be seen from the above, the DK in the WAR3 mission is Prince Arthas himself. Blizzard shows us how predestined a man is with his fall, and every minute has a different ending. DK in battle is another name.
The death knight in the DK area of WOW is not Prince Arthas himself, but his soldiers.
The real Prince Arthas himself is still in Northrend, and he is trying to build the fortress of the Ice Throne. Blizzard will open Northrend-related versions when the fun of Burning Expedition is exhausted in the future. At that time, everyone can face the real Prince Arthas himself in WOW.