Yes, to an extent, because you can see it was on his mind between points. Anytime something out of his control would be taking seconds away from him, he gestured to the umpire to not penalize him for it. So it was on his mind, but I don't think it was significant enough to cause the problem. Most of Nadal's time taken between points is him taking his time, not always about recovery, the rule was never truly enforced, so Nadal was just stuck in his ways and mannerisms. He even would do it at the coin toss.
What contributed to his downfall was the conditions, suffocating oppressive conditions of Ashe, with all the heat and humidity, coupled with the slow surface which allowed the ball to sit up and be hit by his opponents. If you look at his 3rd, 4th and Quarters match, his opponent quite often had plenty of time to take a big swipe at the ball. I noticed due to humidity, the ball wasn't bouncing as violently up over his opponents as Nadal would have liked, it bounced high, but not with the same acceleration.
I also do think Nadal's form was a little overrated coming in, which again was irritating some Nadal fans when I said it. He was very lucky not to be blown off the court by Cilic in Toronto, had Cilic not done his usual mental walkabout, Nadal had no answer to his game. He had to wait for Cilic to come back down, and used his grit to get the better of Cilic. Apart from the final against a player who had beaten a record four top ten players on route to the final, Nadal didn't look that amazing, yet so many Nadal fans were expecting him to rock up and put a beatdown in NYC. Why? Because Nadal would be supermotivated after Wimbledon, he would want revenge on Djokovic etc etc etc. I said he is not the fav, but at best joint fav with Djokovic, I refused to put him as the guy who stood above the others. I think some of his fans were under the impression that USO is Nadal's house now, like RG, he is man who owns it, I have never agreed with that. USO has never been Nadal's backyard, it has been a great event for him, but he was never dominating it the way Federer did from 04-08. And for the record, had Nadal somehow made the final, Djokovic would have beat him quite convincingly here.