I didn't say they processed information the same, I said generative AI isn't doing anything that humans don't already do. If I make a drawing of Gordon Freeman or Courage the Cowardly Dog, or even a drawing of Gordon Freeman in the style of Courage the Cowardly Dog, I'm not infringing on the copyright of Valve or John Dilworth. (Unless I monetize it, but even then there's fair-use...)

Or if I read a statistic or some kind of piece of information in an article and spoke about it online, I'm not infringing the copyright of the author. Or if I listen to hundreds of hours of a podcast and then do a really good impression of one of the hosts online, I'm not infringing on that person's copyright or stealing their voice.

Neither me making that drawing, nor relaying that information, nor doing that impression are copyright infringement. Me uploading a copy of Courage or Half-Life to the internet would be, or copying that article, or uploading the hypothetical podcast on my own account somewhere. Generative AI doesn't publish anything, and even if it did I think there would be a strong case for fair-use for the same reasons humans would have a strong case for fair-use for publishing their derivative works.