It gets worse: if someone hard-forks the blockchain the NFT is on, it's possible for there to be two entirely different claimants to the NFT.

And then there's all the times people's artwork has been straight up ripped off and minted into NFT's without their permission. The only provenance record a blockchain can authoritatively track is its own internal transactions -- it can't even prove that the original artist was involved at all; you're still relying on trust for that.