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?
Yes they do care about where your funds is coming from. When it’s coming from a source that is already flagged for fraudulent activities, your funds will easily be locked or you won’t receive them. I have witnessed a lot of time if trying to receive money on binance in specific, it always prompt a message not to receive the money from sanctioned entities as it’ll pose a risk to your account. Even some exchanges that are flagged are not allowed to transact to exchanges that have putting an embargo on them, so exchanges have their policies and since they’re decentralized, it is better not to receive money from any source that is not accredited by them or have been flagged for fraud before.
basically people should read the term that the exchange give first before doing deposit, binance seems to be quite strict with the rules mainly to comply AML.
but expect other exchange to have the same reaction as well in the future, this is why not your coin not your money, these exchange be locking up people's fund without valid reasoning so far and lately there's this hot topic about coinbase locking up people's fund in twitter even going as far as the account clarifying that it is just a fud (which more likely isn't because genuine people got locked out of their fund for real there).
always use exchange as needed and then use hardware wallet.