Rarity is what dictates price, not only social decisions.
If I make an NFT of my photograph and sell it to someone, what is stopping me from making copies and selling it to someone else again? Or giving it away? Nothing. This will crash the price of an NFT if the NFT's value was dictated by the artwork.
So NFT's are just bitcoin, another scam.
Digital art is worthless, though. It's as you said. There are no original copies, all of them are equivalent. They can be trivially and endlessly copied. Once created, the cost of creating more copies might as well be zero.
It's the artist's labor that's valuable. It's the artists themselves who are scarce.
Put another way: there may not be any change in value between one copy and two copies, but there is a big difference between one copy and zero copies.
Once that initial copy is found, any number of copies can be created and distributed at zero cost. Value is determined by supply and demand. If supply is infinite, value must be zero no matter what the demand is.
They aren't digital prints in any sense of the word.
As the OP mentions, people are selling NFT's with URLs pointing to art without the permission or involvement of the artist. This demonstrates that ownership of an NFT does not "prove" anything about ownership related to the art itself.
Which only leads on to the next problem of how you associate the signature with a real human.