You've no doubt noticed this yourself, with many Twitter users switching their profile images to portraits of animated monkeys, cats, trolls, and a broad range of other creations. That's one way for users to show off their latest digital art purchases, but Twitter's actually looking to facilitate more direct connection - take a look at this initial mock-up of how it's looking to help users display their NFTs.
The new process would enable Twitter users to connect their digital wallet, which would then provide a direct linkage between the user and their NFT purchase activity. That would then enable Twitter to provide a mark of authenticity and/or ownership on any NFTs displayed (an 'Ethereum checkmark' as Twitter refers to it), as you can see in the final display, with a symbol on the NFT image noting that it is, in fact, owned by the account holder.
Twitter is also developing a new 'Collectible' tab, where users would be able to display their owned NFTs to profile visitors (note, too, the 'Reactions' tab instead of 'Likes', which is connected to Twitter's ongoing Tweet Reactions experiment). It's an interesting experiment, which, as noted, leans into what Twitter users are doing with NFTs anyway. The focus on NFTs as avatars also ties into the development of the Metaverse concept, with these representative images also likely to be expanded into digital characters, which can then be used in other virtual applications as a form of identity.