on the indies, look, gimmick, moves, finishers are usually up to the wrestler. I may, as a veteran offer suggestions to a young guy for a gimmick or a finisher.
In WWE, management might give someone a move and tell them to use it but mostly its what the worker can do well and safely.
Gimmicks are mostly up to WWE management.
My buddy Jim who trains for, and works with, Roddy Piper in Portland.