Crypto Art (1 or 2 words?)

Let me see what I understand and what I don't. And please correct me.

Ok, so Mr. Artist makes a work of art on a computer. The artist then uploads it to a NFT art website. That website puts a copy of the art on the blockchain and records in the ledger "Mr. Artist Owns This".

Mr. Buyer buys the digital art through the website. The website updates the ledger to say "Mr. Buyer owns this".

Does the buyer now own all rights to the art?

If Mr. Buyer does not own the rights to all reproduction and copyright licenses then why but it?
It's not the original. To own the original then you'd have to go and get Mr. Artist's PC where the original pre-upload file is stored with the original 1's and 0's on disk.
Unless he defragged his drive and the computer copied the 1's and 0's to a new location and erased the original 1's and 0's to allocate free space.

It seems that, unless the copyright and reproduction rights transfer with the ledger entry, all one is buying is just bragging rights for a specific ledger space with no actual purpose.

Educate me, please.

(posted from my phone)