I think both parties need to have a cashu wallet set up (with compatible mints?)
Then, when you press the zap button in Amethyst, you can choose to send by cashu or lightning
Worked for me to nutzap Vitor
https://blossom.primal.net/7157af01a4823718df26f39fdf61354c49c61b4eca566d6a8798e25830b42712....