Your usage of the term "doppelgänger" and your claim that they have agency and rights... is extremely bizarre.
Clearly it is the person producing the deepfake who has agency, and their right does not extend to the right to harm others' image.
Or to put it another way, imagine two identical twins, where one joins an extremely strict religious sect and the other becomes a porn actor.
Under what circumstance can the first twin sue the second to stop them from acting?
Is "people might think it's me" enough? Does it cross the line if the second twin uses their siblings' legal name as their stage name? What if it's just a nickname? etc.
To call a person with agency and rights a "deepfake" is the most bizarre thing we have seen yet. Get back to us when you get around to reading the discussion.