I read a lot of C&D letters from celebrities here and on Reddit, and a lot of them are in the form of "I am important so I am requesting that you do not take advantage of your legal rights." I am not a fan. (If you don't want someone to track how often you fly your private jet, buy a new one for each trip. That is the legal option that is available to you. But I digress...)
For something more general look at Midler vs Ford [1], and lots of other similar cases. Ford wanted to use get Midler to sing some of her songs (that Ford owned the copyright to) for a commercial. She refused, so they hired an impersonator. They never stated it was Midler in the commercial, but nonetheless were sued and lost for abuse of 'rights of personality' even for content they owned the copyright to! Uncopyrightable characteristics highly associated with a person are still legally protected. Similar stuff with fight refs. Various trademark lines like 'Let's get it on!' or 'Let's get readddy to rumble.' are literally trademarked, but it's probably not even strictly necessary since it would be implicitly protected by rights of personality.