They made the finals twice.. I don't see how they would "fall apart" in the playoffs every year.
The Malone-Stockton Jazz had complete stability for a decade together from 1985-1995, and during that time they were a horrible 6-10 in playoff series. They lost in the 1st round 6 times, only made the WCF twice, and didn't make the Finals once in their first decade together.
They weren't even losing to good seeds for the most part. They lost to the 4-seed Mavs in the first round '86, got upset by the 5-seed Warriors in the first round '87, got upset swept by the 7-seed Warriors in the first round '89, got upset by 5-seed Mavs in the first round '90, lost to 3-seed Sonics in the first round '93, upset by 6-seed Rockets in the first round '95, even got taken to Game 7 after blowing a 3-0 lead against the 8-seed Nuggets in '94.
That's embarassing for what was a LOADED team. How you have two HOFers who are supposedly among the best-ever at their positions with a HOF coach and a solid supporting cast and yet you're losing in the first round every year? Karl Malone was already 22 and Stockton was 23 when they came together, they joined a squad coming off a WCSF appearance that had Adrian Dantley, Thurl Bailey, Rickey Green, and Mark Eaton. Adrian Dantley left after a year, but that team always had very good swingmen (first Thurl Bailey and Darrell Griffith, then Jeff Malone, then Jeff Hornacek) along with a DPOY at center in Mark Eaton and a deep bench, plus Jerry Sloan came in 1989 and they had coaching consistency from a HOF coach for a decade. And all they did was LOSE.
Jazz finally made the Finals in 1997, but that wasn't because they got better after a decade of fukking up in the playoffs, it was because everyone else aged out and the Western Conference got weak as hell for a couple years. Once Duncan came in and Kobe grew up with Phil it was all over for them again.