I can see a difference for creative works. I'd be more interested to know that I'm looking at something an artist did intentionally than something sampled from a manifold of similar works. Just like I'd rather (all things being equal) have a real drawing or painting than a print. You can make analogies in other art forms too.
And if someone is going to send me a sales pitch or email that GPT wrote, I'd rather they don't insult me and just send me the prompt.
I think tfa is a gimmick, but i see value in knowing whether I'm relating to a human brain or to a statistical model