I read the article earlier today and was pretty disappointed in the analysis. He should've looked at something like DVOA, which adjusts for opponent quality and is a better predictor of future success than simple win-loss record. And there's really no excuse for not at least comparing to a baseline performance, i.e., how did the teams do in all their other games? It's actually really surprising to me that he did neither of those things, since Barnwell is easily one of the more advanced-stats-obsessed writers out there. You can usually count on him to at least present all the relevant statistics. It's really a pretty disappointing effort on his part, and makes me think he was skeptical of the premise going in, and stopped halfway through when his initial analysis confirmed his bias.
His analysis of win-loss record also suggests that teams should regress to the mean the following season, yet the Seahawks did the opposite. That doesn't necessarily prove anything, but when you combine it with the anecdotal evidence from players who actually play the game, it suggests that the idea deserved much more careful scrutiny than it got.
There may not be anything to the Seattle hangover, but the definitive analysis has yet to be done.