No. Authenticity of the data is not part of the concept.

What would that even mean in the context of non-physical contracts? You can buy an experience as an NFT (i.e. dinner with a C-list celeb) and the NFT serves as nothing more than a receipt saying you purchased that experience. Doesn't have to be unique (several people could by the same), doesn't include any specific metadata relating to the buyer.

What kind of "cryptographic authenticity" would even apply in such case?

It gets worse with digital assets if all you get is an IPFS URI. The actual data can be removed or altered at any point without the NFT itself being affected in way. Unless the asset itself is stored in the blockchain (which is practically impossible for anything beyond thumbnail-sized images) there's nothing to validate on the BC besides the token itself.