Last time I looked, the OC was part of the offense. Also, my beef with the offense is that they didn't execute.
As I said, and you seemed to ignore, the fault goes to both the offense and defense.
And if you think that the offense is the last place to look, then you ignore that one affects the other.
A team is comprised of 4 major 'parts' on game day: offense, defense, special team, coaching. The problem wasn't a lack of execution in the example you gave. They didn't even attempt to run the ball. That's either:
a: playcalling (coaching)
or
b: lack of healthy personnel
In neither case is it the fault of the offensive execution, since the runs were never attempted.
And, please, don't give me that "one affects the other" crap. Break down the situation (I'll use the NFL.com site to make it official):
80 yard drive to 'end' the half with a FG
14 play, 76 yard drive to start the second half
<--- Patriots drive, a 3 and out
6 play, 53 yard drive to follow it up.
<--- Patriots drive, 5 plays for 21 yards and a touchdown
7 play, 64 yard touchdown drive for 3 TDs on 3 Colts drives in the 3rd quarter.
Now, if you're going to claim that the offense is "to blame" because it dared to have a 3 and out, you go for it. Me, I see a defense that didn't get the job done at all. I look at the first half and see a 16-14 minute advantage to the Patriots in time of possession along with a 14-6 score, which tells me that the offense was playing just fine. I notice, however, that the first half and opening drive of the third quarter saw 2 14 play drives and one 15 play drive for the Colts offense, starting at the Indianapolis 20, 12, and 24 and leading to points.
Now, looking further, Indianapolis had 5 3-and-out possessions, New England only had 3. New England punted 5 times and scored 6 times. Indianapolis punted 4 times and scored 7 times.
New England's offense only had the ball twice in the pivotal 3rd quarter, scoring one touchdown and having that 3-and-out mentioned earlier. Indianapolis had the ball 3 times in the 3rd quarter, scoring touchdowns on all 3 possessions.
We need to stop pretending here. The Patriots lost that game because the defense didn't show up in the 3rd quarter.