To add to this, the legal standard isn't whether it sounds "like" her. It has to be a replication of her voice. Millions of people may sound or look "like" another person, that doesn't mean they are a copy of that person.
The best case study in voices imho is David Attenborough. He has a distinct voice that many have sought to replicate. But you know who else had that voice? Richard Attenborough (the actor from Jurassic Park). They are brothers. Sadly, Richard recently passed. Their voices are unsurprisingly nearly interchangeable, along with a thousand other people with similar life stories. So who gets to own complete rights to the distinctive "Attenborough" voice? In any other area of intellectual property the answer is simple: nobody. It doesn't exist and/or was created by people long before any living Attenborough walked the earth.
Similarly, courts ruled that GTA did not steal from Lindsay Lohan. One cannot own the image of generic California blonde in a red bikini. So why should Johansson own sexy/breathy voice of with a nondistinctive accent?