I doubt that quite a bit. Auburn didn't contain FSU for "half of the game," they practically contained them all night. Their collective backs were broken on by their own failures, namely busted coverage on the kickoff return and two whiffed tackles on a simple 3-yard hook route on the final drive. Going into that final drive, through 58 minutes (which included 10 drives), FSU had only 20 points, just 298 yards of total offense on 58 snaps, lost a fumble, and gave up 4 sacks. That's containment and a lot more to boot.
I think the better explanation is just that FSU and Winston had no real answer for the Auburn defensive front seven, and in particular the pass rush from the DL. Those guys kept FSU spinning in their tracks all night long, and they just hadn't seen anything like it.