No he won't. Gruden collects terrible quarterbacks like kids used to collect baseball cards. This guy once had Jeff Garcia, Bruce Gradkowski, Luke McCown, Brian Griese, Tim Rattay, and Chris Simms in a 3 year span.
He likes Peterman because he does what he's told and can deliver the ball in 7 on 7's. I suspect McDermott liked him for the same reason. When the game actually starts Peterman is terrible.