Vast majority of Lightning users don't have very good privacy. They're either using custodial wallets or LSPs that see a lot. Ecash is cool, but custodial. Doesn't offer you sovereign privacy and there are problems with large payments being identifiable by the mint since it uses denomination buckets.

Even when you use Lightning correctly it's a trade-off between allowing third party hops to see at least partial amounts. Monero is better at hiding transaction amounts from third parties since it uses pedersen commitments. Lightning perhaps better for hiding from counter parties. But all depends how it's used.