Auburn has had Bama's number over the past 30 years, without a doubt. It's definitely a major point of shame for most Bama fans.
However, the author proceeds to chide Bama fans for pointing to the entire history of both programs, and then proceeds to do just that by pointing out when Bama started claiming pre-wire titles, and for making the completely false claim that Auburn would have 9 titles under the criteria that Bama uses.
Further, AU's overall success during the 30 years is thanks to an incredibly successful decade in the 80s. Picking 1982 is convenient for the author's thesis, but it's a totally subjective choice other than that. Yes, Auburn broke the 9 game streak, but what other reason is there to pick that date? If he chose to take the entire decade of the 80s then Bama would have another 2 Iron Bowl victories, two more winning seasons (Auburn finished 5-6 in '80 and '81) 2 more bowl appearances with one victory, two more Top 10 finishes, and another SEC title ('81).
He could have picked the last 20 years (21 if you go from 1990-2010), and Auburn would still have an 11-10 record in the Iron Bowl. But then AU would fall behind in SEC titles (3-2), wins (180-174), bowl appearances (16-14), bowl wins would be equal (10-10), and top 10 finishes (8-4).
If one were to look at the factors leading to AU's success against Bama since 1980 (or 82), the biggest key was their dominance against Bill Curry and Mike Shula (combined 0-7 against the Barn). Remove those guys, and Bama's record is 12-10 in the Iron Bowl.
Subjective analysis cuts both ways.