At this point you're talking about checking a signature. Naively, it seems to me like you could skip the NFT entirely and embed a verifiable sig in a securely delivered DNS record. Then it's linked to the domain. You can do this now, with tooling that already exists and is deployable today. You'd need to deliver the record securely to avoid attacks on the glue anyway.
Of course, neither the NFT nor the sig-in-DNS approach actually solves the problem of a visually identical but technically different image (use a slightly different color in a few places, etc.) being used to trick people. I'm not sure what we've gained. The malicious use case would seem like it's not effectively prevented.