BR, I respectfully disagree regarding your "definitions" of an Air Raid offense.
The fundamental and most accepted definition of the Air Raid offense is a decidedly unbalanced, pass heavy offense. It is not about the Mumme/Leach patterns (many of which come from LaVell Edwards passing game concepts at BYU). It is about an offensive mindset to throw the ball anytime, anywhere on the field and to do so very frequently. To say a team which incorporates some classic Air Raid patterns (mesh, Y-Sail, etc.) in their passing game is an Air Raid offense is not unlike saying a shotgun set team is really a Single Wing offense because they both use the direct snap.
This past season only 1 team threw the ball more than 58% of the time. Not surprising that was Mike Leach's WSU team which threw it on 74% of their plays. That is a pretty big drop off from #1 WSU and #2 IL (58%). I think what you are seeing is the coaches that came from the Mumme/Leach Air Raid tree (actually a pretty small tree) are now convinced that a more balanced offense is a better offensive system overall.
To be perfectly honest I have no idea of "what" CMS wants in an offense. This is his first gig as an HC and, other than stopping one, he has probably never thought about offense before in his career. That said, "defensive guys" often seem to gyrate to a balanced, ball control style of play as that usually best compliments their defense. Not only that, but when listening to DCs talk about opponents, unless playing a WSU or GA Tech type team, they usually cite "balance" as the thing that makes a offense difficult to defend. Brother Bob was one of the few defensive guys that bucked this ball control trend and has gone with a wide open offensive style his entire time at OU.
I personally believe that style-wise Dawson was a good replacement for Brown; both seem to have similar philosophies but Dawson did not run the QB as did Brown. But, overall, I'm still not sure "what" the Cats want to do offensively. One thing is for sure, with Barker and Phillips as the main contenders at QB, they will not feature a QB run offense. All of course, JMO.
Peace