Many of the NFTs are not distributed even though they claim to be, so while they have the same kind of centralization, they have no such authority. If we were to grant them such authority, we'd want it to be a normal centralized database and the benefits of decentralization would not be needed. There would be no need for non-cooperative consensus either.
This is an important thought experiment that I brought up in another comment, but my conclusion is the opposite: I think that efforts would still be made to determine which physical painting was the original one painted by the artist, and that one would still retain the value as long as the determination of originality remained well-respected. This already happens with paintings: there are extremely skilled forgeries that have fooled experts.