An increase in running yardage by a QB can be a sign of weakness. This usually means that the QB did not take the time to work through his progression, e.g., Vince Young.
The big factors in this QB selection will be pocket presence, e.g, audiblies (reading the defense), elusiveness, and running his progression (getting to his check down when necessary).
Perhaps, but I believe more telling insights into Butch's offensive tendencies, with respect to use of the quarterback as a ball carrier, can be gained from looking at stats for his starting QBs prior to taking the job at Tennessee. Consider the following:
Cincinnati (2010-2012):
2012: Munchie Legaux 55-335 6.1 ave. 4 tds.
Brendon Kay 48-306 6.4 ave. 2 tds.
Total: 103-639 yds. 6 tds.
2011: Zach Collaros 84-234 2.8 ave. 8 tds.
Munchie Legaux 41-185 4.5 ave. 2 tds.
Total: 125-419 yds. 10 tds.
2010: Zach Collaros 121-202 1.7 ave. 4 tds.
Chazz Anderson 19-80 4.2 ave. 0 tds.
Total: 140-282 yds. 4 tds.
Central Michigan (2007-2009):
2009:
Dan Lefevour 183-713 3.9 ave. 15 tds.
2008: Dan Lefevour 168-592 3.5 ave. 6 tds.
2007:
Dan Lefevour 188-1122 6.0 ave. 19 tds. (Incidentally, Lefevour also passed for 3652 yds. and 27 tds. that year.).
These numbers suggest that Butch most definitely likes to use his quarterback as an integral part of the running game. Given how punishing SEC defenses are, he might be inclined to "dial it down a notch" but I wouldn't be the least bit surprised to see Dobbs, if he should wind up as the starter, with 100 (or more) carries.