This mostly true, in theory. In practice, the problem is NCAA officials and Alabaga currently have an incredibly cozy relationship based on the fact that Alabaga is a huge profit generator for the NCAA. Cash is King, and that relationship is likely to remain strong so long as Alabaga continues to bring big $$$ into the NCAA. Until the day the cost of the trouble Alabaga creates for the NCAA exceeds the value of the $$$ Alabaga generates, little is likely to change between them. But the Federal government could drive a wedge in that relationship if they wanted to.
If the NCAA ****es off the wrong individual high enough in the Federal government, or if you have some politically motivated US attorney in a powerful district (DDC, SDNY, or even EDNY) trying to make a name for themselves, or even if the President or a senator gets himself/herself into some trouble and is looking for an easy distraction, the mechanism of the federal government could come down hard on the NCAA. If that happens, they could apply enough pressure that the NCAA would have no choice but to come down hard (or give the impression that they are coming down hard) on Alabaga and other big-time bag schools. It would not quite happen "overnight" because Federal prosecutors like to maintain their conviction rates above 90%, which means by the time the charges are brought all the evidence necessary for a conviction has already been gathered , but it would feel like whiplash once the charges are made public.