I mean, to this point, my intent in the OP was not to suggest we need to get better at running the ball. It was whether Allen is better when his passing attempts or ratio is high. I think he is, but I also haven't don't analyses to back this up or see whether it's more a function of the defenses we're playing.
I think I feel similarly to one of Hapless' comments above:
I think Allen's big games have been pretty damn good this year. The titans was a dud of a game, and KC wasn't great but rewatching it I wish we'd just gone with a better game plan and opened it up (as many have noted). He looked like he was right on the edge of popping off...in a more pass heavy approach from earlier on maybe he would have, weather be damned. But hell, I'm just so stoked on Allen that I want to see him wing the ball as much as possible.