If Tirpitz left Norway for active operations

What if Tirpitz operated actively instead of remaining in Norway, with her support resources used elsewhere?

Tirpitz would probably be sunk, while her former support resources would make little difference elsewhere.

Tirpitz would conduct other operations, but would probably eventually be sunk. Her size would make her too important a target for the Royal Navy to ignore, even if defeating her required a surface action. Redirecting the resources used to protect the battleship would probably make little difference elsewhere. If reassigned at all, they would probably go to the Eastern Front.