Not watched it for 10 years so cannot comment. I judge a match off winner to UFE ratio. What are the stats for both players in that regard from that match compared to their 2010 match?
My memory of the 2013 USO final was Nadal falling on his butt to go0-40 down on serve then winning the game and the match then being over soon after as that seemed a turning point.
Winners to errors ratio is just part of judging quality, forced errors are important as are the tempo of the rallies, movement, defence to offence, the quality of the hitting (e.g. pace, spin, angles, how early), when the errors come not just the total is important too (for example a guy who goes up an early break can afford to play looser on return games etc...).
As you asked for the stats I will share them though:
2013:
Nadal - 27 winners 20 UE's
Djokovic - 46 winners 53 UE's
2010:
Nadal - 49 winners 31 UE's
Djokovic - 45 winners 47 UE's
My impression of the 2013 match is that Djokovic was very erratic, I think he was at something 4 winners 13 UE's errors in the first set with lots of errors coming early in rallies off the forehand side. After the first set I think he found his range and Nadal started dropping the ball shorter which allowed Djokovic to dictate and grab a commanding position in the match. This spurt of good play was definitely on the back of some passive play from Nadal though.
Throughout the match even when Djokovic was playing better he was living on the edge, think he made three UE's in a row when trying to consolidate the break at 4-2 in the second for example, he also clustered a bunch off errors up 3-2 in the third set as well. Nadal for his part was tactically was great with his use of the slice and dtl forehand, and he was very clutch when he needed to be. He got a lot of help from Djokovic throughout the match though. Djokovic also lost intensity in the fourth set, a tough set to lose no doubt but would expect more from someone of Djokovic's caliber in that position and he basically gift wrapped the first.