That said, I still cannot wrap my head around owning some "art" in the digital world.
Except it isn't. That's just something someone says to get you to open your wallet.
At the end of the day, you don't actually own the thing being named.
Answering these questions, then answering them for NFTs almost makes it all makes sense. I say almost because, of course, they don't need a fucking blockchain to do any of this.
It's more like if you would own a certificate (very likely of dubious provenance itself) saying that you owned the original of the Mona Lisa, which certificate also listed the address at which the actual original is stored, in case anyone wanted to see what you “owned”.
But that makes a less-enticing pro-NFT argument.