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 >  it's impossible to know which is the true spend

Not impossible. My tool *automatically* detects the true spend 1 in 15 times. Better tools (like ciphertrace's) do better.

Lightning is superior. 
 There’s a reason the IRS never made a bounty for Lightning and said it wasn’t an issue in their report from 2020. 
 you can't stop lying can you?

you are using heuristic analysis, which is NOT a deterministic relationship.
your tool identfies the *likely true spend
at a certain (undefined) probability 

and it does it no better than random chance
(but automatically! 🙄)

I suggest if you're actually interested in operating in good faith you prioritize telling the user the probability your heuristic analysis is accurate.
ie, the odds an old ouput decoy WOULD be used in a ring etc 
 thank you, that (final paragraph) is excellent feedback and a very good idea 
 also
if you're actually concerned about having private value transaction
LN does NOT do better than monero in 99.9% of ACTUAL current usage

maybe bolt12 gets widespread adoption, running your own node gets easier and the situation improves

but right now using LN is a shitty trust-based model