Yes! After you sell your Personality NFT, the new owner will need to update their traits.
Now, if you log in via email this will allow you to restore your traits by purchasing a Personality NFT and updating it. Alternatively, you can buy a 2nd Personality NFT first, update it and then sell the left-over NFT.
Here below is an example of someone who owns two Personality NFTs. The second was transferred in or purchased on OpenSea and now he can update his Personality Data which will make the cards look the same.
After the Update, he can keep both Personality NFTs (perhaps due to earnings), upgrade them with a Rarity Pass, or Sell them.