To some extent, I think that Allen tries to force things more when his opportunities are limited. Beane said the same during the preseason game 4 interview, basically talking about his bad interception and how he just really wanted to make something happen because he hadn't had many chances to wing the pig. But I think you have a point about riding the run game *if* it's working.
I should also point out that I'm all for whatever gets us wins, period. But for Allen's development, my gut says to let him have a modern amount of pass attempts. He wants to push the ball downfield, not dink and dunk. I think that style regularly requires more than third down opportunities.