No, they gave me an XMR address, I sent money to it, and then traced the transaction that I created

I often do this in order to demonstrate that monero has worse receiver privacy than lightning

Receiver privacy means not leaking info that should be known only to the receiver, including what address he received money into and how much money he received.

Monero leaks this data to the sender but lightning doesn't. And this data is very valuable to chain analysts, who commonly use it to trace monero in Eve-Alice-Eve attacks. That is where Eve, the attacker, sends money to Alice (the victim), and then watches the blockchain to see what happens to the money next.

If Alice ends up sending the money to someone who knows Alice's identity, Eve can sometimes collude with them to deanonymize two transactions: Eve -> Alice and Alice -> Eve. This attack has been used to successfully trace the monero of three criminals and convict them of crimes, as seen in thr first three case studies on moneroleaks.xyz.