Monero is designed to protect the sender's info from the receiver, but unfortunately it uses a crackable, unencrypted "1 out of 15" technique. It also makes no attempt to hide the receiver's info from the sender; in fact, the receiver's pubkey is published in plaintext for all to see.

By contrast, lightning is designed to protect the sender's info from the receiver by (1) actually encrypting it, (2) using onion routing, and (3) not publishing anything.

The same techniques also protect the receiver's info from the sender, plus lightning's design makes rendezvous routing easy. This technique lets the receiver easily give the sender an invoice with a decoy pubkey in it, so that even if they DO find the node associated with that pubkey, it's the wrong person's pubkey.