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No, I will not be surprised. Outliers are outliers. "Art" created by AIs will just have price (and cost) of ~0 and, like everything that has a price/cost of 0, nobody will give a sht about it.*
Art doesn't touch people because it has cost.
In fact, for ages certain types of art had no cost - poetry, public festivals, and so on. And many still don't (e.g. free punk/underground/indie/etc public performances), Soundcloud music, and so on.
Most movies and series seen on TV are also ~0 (and for kids, everything is ~0, as their parents foot the bill), but they're still touched by them.
>The only real question is how will human artists (provided they exist in your preferred dystopia) will prove that they have created something themselves.
Note the loaded words "your preffered dystopia" (who says whether I prefer it or not? I merely describe what's the case. You have some ethical/political point to make).
As for the answer to the question, they wont have to. People respond to the quality of the work, not who made it (and whether they used AI or chance - another popular method - or not).
In fact tons of genius artists have described themselves not as the creators but as "mere conduits", and say the music/words/etc come from "elsewhere" (implying god, some muse, some spirit, etc). Especially when they fell the most "inspired" (the word itself means "visited by the spirit").