They aren't. The only thing making the Bears job the most attractive and the only thing that matters is Caleb. Next HC gets to work with, help nurture, a potential super star QB in one of the NFL's biggest markets, with one of it's founding teams. All those rumors, criteria, innuendo, etc. is media tabloid bull horsefeathers.
Saw a little bit of video with that horsefeathers Lombardi idiot. Although, he was correct about the Bears needs to address both lines, he was way off on trying to justify any of the Raiders, Jets', Saints' or Cowboys' jobs as more attractive than the Bears' job.