That's exactly the point of the article:
There is a reason why coaches fail to go for 2 in this situation, and why smart fans also think it’s correct to take the safe points. It’s because they’re focused on keeping their hope alive as long as possible. As my friend
Brian Burke once wrote, “coaches do not coach to maximize their team’s chances of winning. My theory is coaches are delaying elimination until the latest point in the game—that is, trying to “stay in the game” for as long as possible.”
By kicking the extra point, you (falsely) believe you’re staying in the game for longer. A missed two point conversion attempt with 8 seconds left means you had hope for 59 minutes and 52 seconds. Missing the two-point conversion earlier kills your hope, knowing that it’s now a two-score game. But the goal of a coach should be to maximize his team’s odds of winning, not to make his team’s players and fans feel warm and fuzzy. Missing the 2-point attempt
at any point is going to drastically lower your team’s odds of winning.It’s true that if you score a touchdown to cut the lead to 9, and then miss the 2-point attempt, your odds of winning have decreased significantly. But it’s not the going for 2 early and failing that lowers your odds of winning, it’s simply missing the 2 point conversion that lowers your odds.