Thamel, of all people, had an interesting article yesterday...which I think refutes the notion that firing Pitino would have lessened penalties...at least the vacating of wins.
We are under the new penalty structure, which the member schools themselves wanted. It took a lot of discretion out of the penalty phase. With Memphis, the COI took a "strict liability" stance on their own, which they obviously didn't apply to Kansas and Duke. But under the new guidelines, they are following the guidelines regarding holding a head coach responsible and suspending them, and automatically vacating games in which ineligible athletes participated.
UofL did get penalties lessened on appeal back in the day, but that was strictly on a technicality that the COI apparently didn't explicitly tell them they were being charged as a repeat offender and subject to harsher penalties (even though it was their second major infractions case in like 2 or 3 years)...so they removed a postseason ban.