I think we will see the opposite. Unless the Cowboys feel their defense can hold the Bucs to a low score, I think the Cowboys will do what they did last year and throw the ball 40+ times.
Maybe they open with a run play or even a couple of running plays the first series, but with Hicks and Vea in the middle of the Bucs defense and McGovern and Biadasz in the middle of the Cowboys OL, they will realize running the ball is futile.
But a lot could depend on what the Bucs do on their first series. If the defense struggles, the running playbook will hit the trash bin early.