The way it mostly works is that if a company hires a Morgan Freeman impersonator to do the voice over for their car commercial, Morgan Freeman can sue them for using his likeness without permission:
> We need not and do not go so far as to hold that every imitation of a voice to advertise merchandise is actionable. We hold only that when a distinctive voice of a professional singer is widely known and is deliberately imitated in order to sell a product, the sellers have appropriated what is not theirs and have committed a tort in California.
If you not impersonating Morgan Freeman, and there is no history or framing to make that connection, he is unlikely to sue you, or win a lawsuit.
Courts are quite aware that similar things can come from divergent sources.
Even copyright law fails to protect commonality between works that would be illegal if actually copied, but were arrived at legitimately and credibly independently.
Not saying someone shouldn't use common sense to avoid problems. Don't do Morgan Freeman impersonations comedically, then voice overs of movies.
The goal I think is to protect people with valuable likenesses being undercut by cheap knockoffs, not to protect everyone's likeness. So it's more like a trademark than anything.
https://law.justia.com/cases/federal/appellate-courts/F2/849...
> We need not and do not go so far as to hold that every imitation of a voice to advertise merchandise is actionable. We hold only that when a distinctive voice of a professional singer is widely known and is deliberately imitated in order to sell a product, the sellers have appropriated what is not theirs and have committed a tort in California.