I'd be very surprised if you're wrong about that.
I think maybe the smartest thing I've ever heard Michael Dell say was related to pulling the plug on a plan to outsource a tech support unit.
They realized the perverse incentive: if you get paid by the call or incident, and some calls are cheaper than others, you "benefit" if there are more easy calls. Even though it's better for the company if you recommend fixing the root cause of those calls (eg, changing the packaging, documentation, or design of the product so that people don't have to pick up the phone).
Outsourced Fraud seems like it would have some of the same moral hazards.