Interoperation between mainnet liquid and lightning is offers plenty of privacy if used correctly. I never recommend you keep large amounts on either second layer. Monero is a shitcoin and as far as I'm concerned there are trade offs with every L2 so I don't recommend keeping a lot of funds there contrary to what you think I said. You shouldn't recommend shitcoins as a solution either.
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No it doesn't. Especially when hinging on that caveat "if used correctly" which most users won't.
https://voltage.cloud/blog/lightning-network-faq/lightning-network-privacy-explainer/
Monero is just another trade off, like lightning/liquid, which you have no problem using. Except, unlike both, it doesn't compromise most major value props of Bitcoin. "I don't recommend keeping a lot of funds there" - Ok, just apply this same advice to Monero. Done.

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Lightning Privacy 101: The basics of second-layer bitcoin transactions
Bitcoin's Lightning Network is a major step forward in improving the privacy of bitcoin transactions. The Lightning Network has several features th...
The argument could end at "if used correctly."
If it isn't anonymous by default then it's not anonymous at all
You let me know when you find my cold storage address
Except is does... Because it's not Bitcoin...
With a transparent blockchain is not so hard
Then find it.
Satoshi used Bitcoin a lot. I wonder who that guy was. If #Bitcoin doesn't work for privacy I'd love for you to reveal him for us.