The either/or logical fallacy seems to have overtaken this subject matter, you nailed it!
Some are in denial of this fact (quote above) and some QB's are naturally better at passing than others, while some QB's are better passers with the help of a dominant and dynamic running game.
Obviously some QB's can simply win by passing, not every QB needs a dynamic running attack to pass better or more effectively, it depends on the QB, offense and passing attack.
This is really the key to understanding the 2014 Dallas Cowboys, Romo in specific plays better and more effective with this particular formula.
Jason Garrett
articulates clearly why they drafted Zeke and how the 2014 style of running game allows for a positive impact on
both the offense and defense :
1) Helps QB by taking pressure off.
2) Helps WR's with favorable looks outside because of run defenses.
3) Possess the ball more.
4) More plays on offense.
5) Fewer plays on defense.
6) Allows defense to play at a higher level.
7) Pervasive impact on entire team.
He states "Similar to how we played a couple years ago when we ran the ball so effectively and I thought it had a positive impact on everyone throughout our team and we believe Zeke gives us a chance to do that".
This was from the presser, start time
4:42 and
5:20 specifically.
Zeke also helps the passing game because he is a natural pass catcher.
http://www.dallascowboys.com/video/2016/04/28/press-conference-after-picking-ezekiel-elliott