It's not black and white guys. Recruits don't make a decision based on any one factor alone. They may be kids; but choosing a college is a big decision for any 18 year old, and probably more so for athletes who want to go pro- they're going to weigh everything.
So to say the instability of the Big East is going to have no effect? I've gotta think that's not true. Just like coach's health is probably a concern to them too.
But it's the whole package; they're looking at those things, plus style of play, plus potential playing time, and a handful of other things.