What is funny is that in the main article about the game, ESPN wrote this:

Spurs deny Pistons' bid to repeat

The Spurs are certainly not a dynasty, but their staying power as a championship caliber team -- and their performance in the NBA's first Game 7 in the finals since 1994 -- helps validate their legacy.
Are they a dynasty or not?

3 titles in 7 years is actually pretty close. A lot closer than some of the two title teams they consider "mini-dynasties."