People are fickle. Brian's in season termination will be seen quite differently if Iowa wins out and wins the Big Ten, the latter of which is a pretty long shot. But that long shot could still happen. If so, a lot of people will see the termination as premature and blame Beth.
Personally, I am glad BF is done, although the manner of doing it was stupid. Those coaching positions, indeed everyone that works at the U of Iowa involves "office politics", not red/blue politics. But some egos need stroked (donors and Uni employees), enemies need killed, no small number of noses need browned, blame needs diverting, etc... Like any other large commercial operation, it's just a little jungle.
If the team takes off, every BF supporter at the Uni will trash he interim AD. Beth burned a lot of capital with that move. There will be a lot of people "revising" their earlier statements to the AD, the President-and some of those statements will come from donors.
As the world turns...