Financial institutions are not interested in being good at catching money laundering operations. They are interested in avoiding expensive fines. False positives are really bad for customer relations.
It's not victimless.
I assume allowing laundered money through your institution is of less concern, since it would not lead to a direct loss to the institution. This is assuming you are not knowingly allowing the laundering to occur and you are following all AML and KYC regulations meant to prevent money laundering. If these standards are not met, it may lead to fines and having regulators watch your institution more closely.
Good AML provisions help reduce your fraud losses, even if you decide to make some "exceptions" for your VIP customers.
The point below is true though. Many of the same markers of fraud indicate money laundering, and having a good risk program can reduce both if that's your intention.