If it were UConn or URI in a binary choice situation, then of course we would have more pull. I also don't think it's unreasonable to assume that Hurley will be one of the most in-demand candidates on the market next March, for many of the same reasons he is so appealing to posters here.
What you are missing is that I don't think the quality of coach on the market should have anything to do with whether or not he is kept. I am fine with him losing his job regardless of what is on the other end.
Looking at the coaches in this conference, save for Cronin (who was hired into the Big East and has spent ten years at his current school), the vast majority are retreads and P5 washouts who are not competing on a year-to-year basis, thanks to extreme inconsistency in recruitment and development of talent. If that is the new goal, then great. However, even the top echelon of AAC coaches look bad in OOC competition and flame out early in the postseason. So expecting a distinct improvement from what we have currently from "coaches who would beat other AAC coaches" seems to make little sense to me.