Remember that Heat team got swept by the Nets in season and beat them in playoffs, swept by the Knicks the year before that, beat them too, and swept by the Bulls in 2010/11 season, beat them as well.
Its not just the Finals, Spurs put on one of the most dominant playoff runs in NBA playoffs history, quite literally if they hadn't lost a few games in there they would have set records, but since they went 16-7 it puts them squarely in 6th all time (statistically speaking) Finals run. Of course Heat still had their own record by being only the third team ever to have 4 consecutive Finals appearances and also just the 6th team to ever win back to back (including your The Dream era Rockets
) which Spurs still lack. So all in all, while it sucks for Heat to lose, it didn't exactly work out too bad for either team..
For playoff teams like the Spurs the season doesn't necessarily count
Did you check that Janet Weiss post?