Under a threshold the user can set, hide the message and don't give it a notification. Set a sane value by default and offer the option of revealing the message by tapping on it in transactions list.

Plus/or a Nostr integration where you can allow displaying messages for low sats values only for npubs the user follows.

Rejecting low number sats sounds regarded imo, if implemented should be opt in, not opt out.  

 Yes, this was what I was thinking as well. And if spammers keep upping the sats, just raise the threshold and enjoy more sats.

Is this what passive income is?