In the words of Andre Agassi in those early 90s commercials, "Image is everything"
JB is the image of the program and huge part of SU as he leads the flagship program (that of course he built on his work and success) of the University. SU bball is one of the first things that come to mind in association with the University. That along with Newhouse and alums Costas, Tirico, etc. the Dome, Ernie Davis, etc.
It is in the best interests to project a positive image. That press conference is not just to the 9 people in that press room. Today, a bad presser itself becomes news and can make the program and University look bad.
When it gets played on SVP Sportscenter and Barstool, Big Lead, Outkick, NY Post make it a news article, its a bad look. Compound that with the sad state of affairs on the court, reasonable people need to start asking, why are we keeping you here? Like I said, you can beat any repercussions when your winning 25+ games, but when your mediocre and average it becomes an issue.
I know opposing fans, and probably even media members behind the scenes, are laughing at this. This is how you make your program a joke, when there is no leadership to reign in a coach that's way past his prime and continues to make himself look bad. You got to start thinking big picture on this.