In a nutshell, voices are not eligible for copyright protection under USA law, whose hegemony results in most of the world conforming to the same. The principal idea for copyright is that it only protects the rendition of some work or act. A writer's manuscript, an artist's early sketches, a software engineer's source code, and a vocalist's audition recording, are all things that imbue their creator with a valid copyright, but only for that particular product of their efforts.
It is not permissible to copyright the idea of a space opera, nor a style of painting, nor an algorithm for a computer routine, nor one's own voice. Basically, pure thoughts cannot be copyrighted, nor things which are insufficiently creative like a copyright on the number 42, nor natural traits or phenomenon.
If we did change the law to allow the copyright of a human voice, then any satire or mockery that involves doing a good impression of someone speaking would suddenly be a copyright violation. This is nuts, because it would also deny someone else who -- by no fault of their own -- happens to have an identical voice. Would they just not be allowed to speak ever? Although intellectual property rights stem from the USA Constitution, so too do First Amendment speech rights, and the direct collision of the two would have strange and unusual contours.
For when ideas can be protected by law, see patents. And for when voices can be protected, see soundmarks/trademarks and brand rights, the latter stemming from rights of association. Such protections generally only hold when the voice or sound in question is an artificial product, like the sound of Ronald McDonald, and the protection only limits direct competitors from using the voice or sound improperly; everyone else is free to do impressions if they want.
So for the titular questions, the hypothesis posed simply will not occur under current law, and it's hard to see how it would be practical if the law did permit it.
I've already bemoaned the non-existent journalism that exists with Ecoticias before, and my only regret is that because that prior post to Ecoticias three months ago was deleted, I cannot properly link to my earlier comment, which reads as follows: