Copyright is not ownership. You can own something, but not hold the copyright to it.

Personality rights are also not copyright and as the ruling was not about personality rights, it did not affect these rights (where they exist in the US). Disregarding both AI and the recent ruling, if someone takes a photograph of you, you do not hold the copyright to it, the photographer does. If the photographer then does something with that image that harms your reputation you may be able to sue.

And no, it is unlikely that there is a distinction between one's likeness and "AI generated likeness," it usually doesn't matter if you use a photograph or a drawing of an individual, it is the identity that is protected regardless of what tool was used.