Yes, for the same structural reasons Monero does, but via different mechanics.

1) Traceability

- Monero: Privacy-by-default blockchain hides sender, receiver, and amount (ring signatures, stealth addresses, confidential tx).

- Lightning: Base-chain UTXOs are visible, but channel-level payments are invisible; hops see only adjacent peers.

2) Data transmission

- Monero: No field for Travel-Rule data.

- Lightning: No field or standard for originator/beneficiary info.

3) Counterparty identification

- Monero: Impossible.

- Lightning: Practically impossible without deanonymizing channels and nodes.

4) Regulatory outcome

- Monero: Non-compliant by design.

- Lightning: Non-compliant for any cross-VASP (exchange) payment routed over public Lightning channels.