You can't blame Boeheim for not wanting to leave. He felt he was being railroaded and made the scapegoat by the NCAA and by his own AD, the one who up and left for Minnesota.
So when the ESPN guy comes in, Boeheim let's him know he feels he's been dealt a raw deal (which no argument, he had), and Mike sees that either he can kick up a fuss to get rid of the legend who gave him his start, or he could quietly begin looking for another job.
Mike did the classy thing and went to build his own legacy instead of continuing ours. Mike still refuses to throw Boeheim under the bus for anything, or even snidely hint that JB didn't want to leave, and how long Mike had already served as the "HC in waiting".