When you send a lot of ETH or USDT to a big exchange like Kraken, do they care if its come from a smaller non kyc exchange like Blofin? Do they care if it came from a bridge?
Centralized exchanges has upgraded unlike then, ever since they started probing them of allowing money laundering, they have team up with some chain analysts to watch over transactions that goes in and out of some exchanges, if you are caught using tent coins or stolen coins that is reported and you deposit the coin to the exchange, consider the coin is bye gone because it will be seized and your account risk been banned too if found suspicious of been criminal.
What I know is that many centralized exchanges are now scared of funds that comes from mixing, many of them don't want to see coins that are mixed but free coins that has been move from one wallet to another. I remember Binance asked some users in this forum that participated in mixer signature campaign to provide some evidence of payment and proof because the funds were directly send to Binance, my advice is this; if you know that your coins isn't pure Utxo, don't send to any centralized exchanges to avoid explanations later.