Well, he certainly claimed the title as did the Jacobites who followed him, but I mostly used that title to make it clear that James III folllowed the claim of James II.
Jacobite.
To be honest, I can’t think of a member of the Jacobite line who wasn’t feckless and incompetent, and they were generally undeserving of the loyalty showed to them by their followers. Then again, the Hanoverians were just as bad. I’m Team Smallfolk.