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 I haven’t looked at this in depth but I’ve always thought that the combination of Liquid + Lightning allows anon bitcoin payments. Do you know if this isn’t true? 
 Liquid is not completely anonymous, but through swaps you can achieve anonymity, Lightning is anonymous with nuances, depending on whether you are the sender or the receiver, and privacy can be improved using different techniques.

In short, your statement is true, but knowing what is being done.