I was in school during the Mulzoff era
He had been a high school coach in Suffolk County
Mulzoff had tremendous talent, including two future pros (Davis and Schaefer)
He did a lousy job IMO
Don't let the record fool you - there was no Big East Conference in those days
We didn't play the same strength of schedule as we did later on (more cupcakes)
There was no controversy when Looie wanted to come back
People were glad to see Mulzoff leave
Mulzoff probably was not a good choice to begin with, but he handicapped himself further with the assistants he chose. Inherited great frontcourt talent, but average guards. His record was solid, but he was not popular with the players, and his recruiting was headed downhill. His best recruits were Frank Alagia, Beaver Smith and Mel Utley.
In part, because of the way the Mulzoff era played out, The administration decided not to hire a St. John's guy for Louie's second assistant, and subsequently chose Brian Mahoney over Pete LaMantia, a former SJU guard and captain. Another "what if" for fans to contemplate.
Evidently, the administration wasn't THAT down on Mulzoff when he left. According to this, he turned down a two year contract extension when he left.
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Louie probably approached the administration after all this went down, not before.
Now, many of the fans that I've gotten to know, who were around during that era, do not speak highly of him, as a coach or person (I wouldn't know, because I was still about a decade away from being born). But, it's pretty clear the powers that be were willing to bring him back.
You know, the whole sequence of events was never fully explained. Only Louie, Mulzoff and Jack Kaiser truly know, and there wasn't much discussion about the sudden turn of events. Most were happy with the outcome. I do remember Louie got rid of most of Mulzoff's incoming recruiting class, and came up with Glen Williams, as a late recruit.