Offensive vs Defensive "Minded" head coach

Since coaching vacancies are already open and more are expected (Hi Auburn!), curious what the rant thinks about offensive vs defensive "minded" head coaches. We all know the offensive "geniuses" get all the press, but how often do they deliver the results? Some quick notes and data on offensive vs defensive head coaches in the CFP & BCS eras:

-- In the CFP era, head coaches with a defensive background have won 62% of that Natty's
-- In the BCS era, head coaches with an offensive background won 56% of the Nattys. IMO, I think this shows the flaw where the computers gave too much credit for margin of victory in the early years of BCS.
-- In both era's combined, offensive head coaches that directly ran the offense (called plays) only won the natty 8% of the time for a total 2 total times. Urban did it at OSU and Jimbo did it FSU. Edited: Urban didn't call plays at UF.

Seems to me that the formula for success is a defensive minded or CEO type Head coach with a really good offensive coordinator. Trying to find the next Urban has mostly yielded disappointing results for those in search of Nattys.

Thoughts?