Every transaction can be correlated if it needs to be done by chain analysis. So input size can be also correlated to output size. This can be more pronounced by the low volume use of liquid. By comparison opening lighting channels offers better privacy. Whirlpool mathematically breaks deterministic links. Some derivation paths will be flagged on some exchanges. This also raises fungibility questions about bitcoins utility.

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Have you ever done any analysis on transactions swapped from Lightbing to Liquid to Mainnet?

No but there are plenty of monero memes for this lol