I agree. But that's par for the course for human decision making. Byrne hired two excellent coaches who left, its human nature to think that not only can you do it again, but also add in a subtle criteria that "the next coach should want to stay here too." It's basically trying to outdo yourself.
Reactionary decision making is also rampant in college athletic departments as a whole. You very often see a hired coach be the complete opposite of the fired coach he is replacing (whether that be old vs young, or offense vs defense, or recruiting vs scheme, or local focus vs national focus) because these kind of largely tradeoff and non-predictive factors are the kinds of things people love to think are important. Of course, the reality is that when you decide to hire an offensive scheme coach, because the defensive recruiting focused coach sucked and you had to fire him, you are doing more to eliminate potential good candidates that you arent even going to consider now, rather than actually narrowing on meaningful factors. But people do it all the time.
As for Byrne, the Kennedy hire was extremely difficult in other ways, and some of the others he was rumored to be looking did not resemble Kennedy at all, so its hard to say that it was THE factor. I think it was A factor that made Kennedy more palatable.