What about client's option (Amethyst)?
Just a friendly reminder, in case you don't know.
Zaps are NOT private.
It is easy to get the list of all the zaps recieved by a npub ( https://nostr.band/npub1sg6plzptd64u62a878hep2kev88swjh3tw00gjsfl8f237lmu63q0uf63m/zaps-received ). One day the govt will discover it too and ask for their cut. Esp. when bitcoin at $30k is distant memory.
Discussion
Just checked Zap options in Damus and there is no private mode there 🤔.