the bitcoin might be flagged if you try sending it back to the CEX
Pros:
it breaks the transaction log
increases the data set which is a boon for all bitcoiners
Judgement:
Using a DEX for buying and selling is the best way to go for the opening leg of privacy, and combined with a simple hardware wallet, is sufficient for 99% of people. You avoid any tax implications, avoid KYC problems in both directions, and don't finance centralized participants with bad directional motives. I mix all my coin after DEXing, but my privacy needs or ideological motives might be different than others
What are you trying to do?
Cons:
Pros:
Judgement: