I don't see what "running earlier" or "late" has anything to do with my balanced offense philosophy.
Because it helps determine whether you "win because you run" or whether you "run because you're winning." The longer the game goes on, the more run/pass play-calling is determined by the score differential. If you already have a comfortable lead, you run more. If you're behind, you pass more.
If run-pass balance is actually helping cause teams to win, running should correlate with winning when play-calling is most situation-neutral, viz. the first quarter. (The 2nd quarter will be influenced by teams going pass-heavy to get a score in before the end of the half.)
The fact that running only correlates with winning in the 4th quarter is strong evidence that it is a byproduct of late-game circumstances and not that important factor in helping put the team ahead in the first place.
If being able to pass well correlates strongly to winning, then why didn't we win in the superbowls since the passing rate was amongst the highest, with 48 in 2007, and 41 in 2011?
A few reasons.
1) Just because we were passing a lot in those games doesn't mean we were passing well.
2) We passed a lot in those games because we found ourselves in situations that required passing. When you're neither running nor passing well, you find yourself facing 3rd-and-long a lot, forcing you to pass. When you don't have a comfortable lead in the 2nd half, there's no incentive to run to take time off the clock.
3) It's two games. That's an incredibly small sample size. Also, let's remember that if not for the Tyree helmet catch play in '02 or Welker dropping a pass he catches 95% of the time, we're holding those seasons up as examples of what we should be doing, not looking for what went wrong.