I agree with this in a sense, but it isn't just the free play possibility. It's making the defense show their hand. If there's a blitz call, many times they will show it when they think the ball is about to be snapped.
That said, Rodgers' sometimes cavalier attitude toward timeouts frustrates me to no end.
Oh most definitely he does different things at the LOS, including scoping out the defense, deciding if he should audible out, checking the other 10 guys on his own team and as you said, trying to get the defense to show their hand and/or draw them off for a penalty and sometimes a free play.
Rodgers is a master conductor pre-snap, I think one of the best to play the game. It's happened over time, as he has accumulated quite a few tricks to improve upon it.
As far as the timeouts, I understand that with all of what he has to offer presnap, the cost of him doing it, can be the timeouts, delay of game or even causing his own players to jump. The frivolous wasting of timeouts used to really bother me, now I accept that it is as I said, a cost of doing business with AR. We can still **** and moan about it though. I imagine he would love to clean that part up a little, as well as get free plays more often. It seems refs have almost uniformly decided not to give him the free play and I also think the defenses are getting better at not biting on his hard counts or tipping their defensive strategy too early.