I doubt it would've last long in British control. It was about that time in the war that battleships became obsolescent with the arrival of aircraft carriers, which in turn destroyed just about every battleship there was. Bismarck, and her sister ship Tirpitz, the American Pacific Fleet, and nearly every one of Japan's battleships were sunk by aircraft launched by carriers. By the end of the war and the beginning of the Cold War, remaining battleships were used only for land bombardments, and then phased out completely thanks to longer-range aircraft and missile systems.
Also, at this time it became nearly impossible to capture enemy ships in combat, the only exception being the U-Boat that was captured for the Enigma machine and its codes. A battleship with more surface armament, more people, and a long range against other ships would be ten times harder to seize in one piece.