Also, check the link I provided. Note that LEA regularly "unmixes" bitcoin, via chain analysis. So no matter how how you mix, the end-result UTXO data goes back on the chain. PUBLIC.
The link you posted is a court case. I'd love to reach some technical data on how 'unmixing' happens. Chain analysis, mixing, coinjoin, and utxo consolidation are all different things.
'Mixing' algorithms are typically not disclosed and do fail in chain analysis. CoinShuffle and UTXO conslidation are not 'mixing', and thus not vulnerable to chain analysis.
My Libertarian Tinfoil Hat theory is that the "demixed" thing is parallel construction. Easier for NSA to trace the participants' network traffic. The chain just narrows search.
