We do, actually. As football datasets have grown, and analytic tools evolved, it has become much easier to use statistical analysis techniques to identify irregularities.
It really is only a matter of time before a club in one of the leagues takes action against an official (or group of officials) using statistical analysis as the basis for a more thorough evidential inquiry. We have a team at my firm which is solely tasked with using these methods to suss out financial fraud. And they are getting better at it every year.