The problem with your logic is somehow assuming that because Marv and Ralph chose Jauron, that they couldn't imagine working with Sherman. With that kind of thought process, Jauron shouldn't be our coach because he was a previous applicant for the Bills head coaching gig but didn't cut it.
Jauron took a Detroit team, and under his tutelage the defense became worse. Bates took a defense that lost some players (Sharper, for example) and they played pretty darn well. Bates also di well in Miami. Jauron's coaching stint in Chicago was mediocre at best. A lot of the fans in Chicago wanted his head on a platter.
I'm trying to get an example of where Jauron actually did something to hang his hat on, but all I see is a journeyman coach who goes from one average job to the other. Every time I see his picture on this website I can help but think "Ugh."
I hope I'm wrong, but I have a feeling I'll be saying "I told you so" around late October next year.