University president had no bearing on the drive or laziness of the staff and the lack of bench. lazy is as lazy does.
Oh it absolutely has a bearing on the drive of the staff. When you are treated as a 2nd rate program, you will act and coach as a 2nd rate program.
Still not understanding your theory here. Lavin was paid a salary consistent with a high D1 program. His assistants were paid as well as any assistants anywhere. He was given carte blanche to travel the world or the country or wherever he wanted to recruit.
The only reason the program was a "2nd rate program" was because that was the limit of Lavin's motivation/ability.
It isn't the job of the university president to micromanage the basketball coach and kick him in the rear end to motivate him. If you are the university president and you have a basketball coach who needs that, then the correct course of action is to fire him and replace him with somebody who actually wants to do the job.
Now, I wouldn't argue with you if you were to say that St. J has a structural problem in that it does not have an athletic director with the authority or ability to manage the entire department and all of the coaches and programs, including the flagship basketball program. It would theoretically be that person's job to do some management of the basketball coach. However, if the coach was someone who really needed supervision, you would still need a new coach.
In short, Lavin's ability to be successful (or lack thereof) had exactly zero to do with St. John's and everything to do with Lavin. Anything else is just noise.