~snip~
I will share my own experience. Binance freezes my funds when I receive funds from my clients. Because one of my clients sent BNB from a mixer. However, eventually Binance returned my funds but restricted my account, so I can't use Binance anymore.
This part is not clear to me, because as far as I know there are no mixers for that token - so how is it possible for CEX to claim that their token came from a mixer? The only thing that makes sense is that your client bought that token with BTC that they (CEX) claim is from the mixer.
Anyway, if BTC originates from a mixer, it is definitely not recommended to send it to CEX directly, but it is recommended to make several transactions through your non-custodial wallets - in that case, the only question is how deeply CEX analyzes the transactions.