This is a very complex issue, not one that can be understood behind a mic. You have to look at the opposing defense and understand that when Rodgers is beating you to death on offense, it places defenders on edge and those defenders are always looking to get a jump, to anticipate the snap so that maybe, just maybe, they can get to Rodgers. AR knows that. Mike McCarthy knows that. Linsley knows that. They know that when you have a guy so eager to fire off and get to the best QB in the league, that usually a hard count will send him across the line. AR does it game in and game out.
So to answer your question yes GB gets more free plays than any team in the league, however there isn't another team that is more conditioned to having a DL on edge. A DL jumping offside to the other 31 teams in the league usually results in finger pointing. Not to a very disciplined GB offense. To GB, it's just another play in playbook.
I have gone back and watched those hard count/ offsides penalties, Linsley's snap appears to be instantaneous with the OL movement on each one.