Obviously, I'm going to be a little biased for my former coach, but let's break it down.
You've got the administration and the fans. If the fans were to make a decision, it'll be vastly based on emotion. After all, if they like a guy, they think he's great and will win no matter what.
Then you've got the administration, who's job may be very well put on the line with every hire.
So, who would you trust more to make the right decision, the fans who are emotionally invested in a guy they like or the administration, who could very well lose their job if they make the wrong decision? Personally, I think the guy who can lose his job is a lot more likely to do as much research as possible to get the right person for the job.