Big Rodgers fan here, however, I think there is an element of truth in your line of reasoning. He doesn't force throws which is a wonderful thing, however, that can hurt when trying to come from behind.
On the other hand, I believe Rodgers taking all those sacks as opposed to putting the ball up for grabs has been a net positive.
I'm curious to see how Rodgers does now that he doesn't have a roster of 5 WRs who were/are/have the potential to be 1000yard/10td receivers like he had in 2011 when he had Greg Jennings, Donald Driver, Jordy Nelson, James Jones, and Randall Cobb.