Yep, we already do that part (/ment into the ln address from their profile) when the user presses the claim button of the cashu token previwer. The more important part is when they do not have an address setup.
Discussion
Just thinking out lout: Amethyst could check the /claim endpoint of npub.cash periodically and send a mocked DM to the user with the token.
npub.cash already sends dm on payments. I am currently working on adding the token in those as well. Once thats done, users would receive ecash directly in their inboxes without clients doing anything