it feels almost the same with DM over LN, only the encrypted message part is missing
It's encrypted, only the receiving node can read it. But on SN, we all share the same node and thus k00b and me could just lookup the decrypted messages in the database.
my understanding is if you and the other party both use your own node, then it's encrypted; but if one of the party using LN custodian address, like from Alby, Blink or SN then the node owner can read it too. 👀