The 'NFT company' maintaining the database would still show who 'owned' it long after Beeple is gone. Running such a company could be profitable because you could charge a small fee for the admin: right now it costs around $100 in ethereum fees to buy an NFT, so it could even work out cheaper! As a side benefit, such a company could also host the artwork, ensuring that the inevitable link rot that will otherwise afflict most tokens won't take place. Win win!