Agree to disagree then.The Patriots won 3 championships in 4 years - 01, 03, 04...then 3 in in 5 years - 14, 16, 18. There's no doubt that the Patriots have been consistent at a high level for a long time with Brady and Belichick. But that's two completely different eras and dynasties.
Spurs had a dynasty winning in 03, 05, 07. Winning in 1999, but then waiting 4 years later for another championship isn't dynasty worthy. From 2010 to 2017, Spurs only won the conference finals, making the NBA Finals twice, winning the NBA Finals once in 2014. Spurs had a dynasty in the mid-2000s. Their consistency has a franchise is awesome and they are well run with one of the top coaches/minds/motivators in Pop, but their dynastic run falls behind the Patriots and well behind the Bulls.
Back-to-back-to-back championships, a 3-peat on the trot. Then a year-and-a half without MJ, meant two years without a championship, but they still made the playoffs losing to better teams after the 1st round. Then another 3-peat on the trot.
So..Chicago = 6 championships in 8 years, two 3-peats / Patriots 6 in 18 years (3 in 4 ties them with the Bulls in terms of most championships within certain number of years, but never consecutive years) / Spurs 5 in 15 years (3 in 5 years is their best run, but no consecutive championships).
It's clearly one dynasty to me, especially Brady/Belichick. That's like, universally accepted. Even when they weren't winning, they got to 8 consecutive conference finals. You can't compare the NFL to the NBA, but that's extremely hard to do anyway. I also believe the Popovich era can be defined as one dynasty. You don't need to be winning all the time to stop being one.