The tweet is publicly available so there is no exclusivity. Anyone can look far enough & find it. The second being ownership. The tweet was always time stamped & in Jack Dorsey's name. Buying it as NFT will not really change its attribute. Then again, the copyright law also is contradictory to NFT ownership. It was written by Jack Dorsey, so he automatically has its copyright - unless he signs it away as a legal document (just as academics do for their journal papers. Even then, it doesn't change authorship). AFAICT, Jack Dorsey hasn't & a blockchain purchase doesn't really legally transfer copyright.
I am still confused how this will be a NFT. If there is a better explanation, I am glad to learn more about it.
Edit: It seems my understanding was not only nascent but incomplete. It makes more sense with the extra details.