You fire a head coach only if you have a reasonable expectation of hiring a better one. What I am expressing is not fear of risk (but thanks for the life lessons), rather, it's asking the question: Why are we assuming we're going to get a better coach?
Every program who fires a coach and replaces them with another has expectations that the coach will do better. There is no logic that says that next year our chances of hiring a better coach will be better either. Why would anyone assume that we will do worse? There is no guarantee either way, but that is also true on every business decision.
As far as the program, Illinois definitely has great potential. As history has shown in the example I gave, we have hired very good coaches in the past. It may be unreasonable to expect to steal an existing HOF coach from a program higher in the basketball hierarchy or the hottest name in the market but it is certainly reasonable expectations to hire a very good coach.