Had the Spurs won in 2013, I think the storyline would have been LeBron throwing a le away with those two ridiculous turnovers right after Parker's three to tie it in Game 6 with a little more than a minute left. It would be considered a fluke le. The media narrative would have been about Danny Green and Gary Neal just getting hot at the right time, and LeBron getting scared, not being able to close the deal. Because they won everyone forgets that horrible airball pass (shot?) James threw right to Ginobili, but if the Spurs won in 2013 that would be the defining moment of the series that everyone remembered.
Another major storyline would be the Spurs daring LeBron to beat them with jump shots, and James not being able to do it. It's why the Spurs were getting away with guarding James so much with Diaw. The gameplan was to completely back off him. A 2013 Spurs win would have been viewed as a shortcoming of James.
Meanwhile in 2014 the Spurs actually guarded LeBron, they were all up in his . The 2014 le could never be viewed as a failure of James', it was all about an amazing team just denying him. Coming back from that horrible loss, man, the media and every NBA fan alive had to respect that. The 2013 Spurs were not an all time great team, but the 2014 Spurs were. I would take them against any team the Spurs ever fielded. And the Spurs were written off after losing the 2013 le. That was supposed to be the last opportunity to squeeze a le out of Duncan's career.