About WasabiWallet, OP's concern is "taint". Wasabi's developers make sure that all UTXOs that enter their pool don't come from questionable sources. They merely want to protect their users from taint.
Except that there is no central list of 'what is tainted' and what's not, so even a 'clean' output by Wasabi's standards might be rejected from an exchange.
Heck, some exchanges could flag a UTXO, exactly because it comes from a (Wasabi or otherwise) CoinJoin and thus is not trivially linkable to a real-world identity.