Since I haven't been involved with Bitcoin for a long time, I have no idea about the current technical circumstances, but I came across an article reporting that Arkham Intelligence has developed algorithms and patterns to completely deanonymize transactions, even Coinjoins.
I wouldn't trust what Arkham Intelligence say without proof. They have fair amount of controversy and their platform sometimes contain inaccurate/wrong data.
My question is, when it comes to blacklisted coins, doesn't CoinJoin have the same problem as regular online mixers? Since you never know where the coins come from, you may end up blacklisted coins and when you go and make a transaction, you may own blacklisted coins that show up at the end of some service that uses whatever filters they use to detect so called blacklisted coins. So ideally you would want to end up with fresh coins, but I wonder how since the only guaranteed fresh coins are recently mined coins.
FWIW, some blockchain analysis service and company who use it simply blacklist or label all CoinJoin UTXO as risky/dangerous. Certain type of CoinJoin TX are trivial detect, although linking between input & output is rather hard.