I saw Carroll give that explanation after the game. It makes sense to me.
This article Pete Carroll explains why the Seahawks ran what is being called the worst play call in Super Bowl history
has a good photograph of the Patriots stop-the-run 9 men on the line lineup for that play that made it a reasonable choice to try the throw then.
Before Super Bowl 49, the commentators made their obligatory "this is going to be a chess game" metaphor. The halftime show lit up Katie Perry's stage into black and white squares. The media uses "football is chess" like a cliche, but these coaches actually think -- they must think -- like chess players.
The world keeps deriding Pete Carroll for calling a pass play at the 1-yard line, in the last meaningful play of Super Bowl 49. But this was the correct strategic decision. Carroll was thinking like a chess player.
The thought process that NFL coaches and chess players have in common is the scientific method. We, as chess players, must attempt to falsify every single one of our plans. We must constantly ask ourselves, What's the worst case scenario, and can I be successful in that case? We chess players come up with a plan, generate candidate moves based on that plan, and then actively anticipate what can go wrong (for example, we must anticipate the opponent's move that best thwarts our plan, we must factor in the time remaining, etc.).
In Pete Carroll's 2nd-down decision, he had one timeout remaining, 20 seconds left on the clock, and three downs to go one yard to win the Super Bowl. If the Seahawks ran on 2nd-down, the worst case would be they don't make it. The clock would continue to run. The Seahawks would need to burn their remaining timeout. On 3rd down there would be approximately 15 seconds remaining, not enough time to try another run, and they would be forced to pass anyway, because they would have zero timeouts left. Thus, in a worst-case scenario, given the clock situation, the Seahawks would need to pass AT LEAST once during a three-down set. Why not pass on 2nd-down? Were not millions of people expecting Lynch to run the ball in that situation?
My point is that Pete Carroll made an excellent strategic decision based on the scientific method; he made a decision worthy of any good chess player. What happened was poor execution. Russell Wilson screwed up the throw and lost the game. The same applies to chess. A great strategic plan will go awry via poor execution: a missed tactic, a poor calculation. Both chess and football require strong execution. Bill Belichick will tell you that any day.