Of course he is. Was there ever any doubt?
The Jazz needed an Assistant GM. Almost every other team in the league has one. Utah did not and I think that cam down to two factors: 1) Jerry Sloan was heavily involved in personnel evaluations and decisions; 2) Utah had very little roster turnover each year. When you're only looking at perhaps 3-4 roster spots each season and two of those will be filled by your draft picks, you (as in Greg/Larry H. Miller) can go cheap on the management side, especially with a coach who demands major involvement.
However, next season will be completely different. Jazz only have a few guaranteed contracts. Major negotiations may/may not happen with Al and Paul. The reason Lindsey was given the title of "GM" is because he was an assistant GM with SA. Jazz would have not been granted permission to speak with him if the move was lateral. However, once KOC was given his fancy new title, that opened up the GM job for Lindsey. Because of it being a promotion, Spurs had to give permission for Lindsey to interview. Well, at least teams are pretty strongly advised NOT to interfere if someone is offered a chance at a promotion.
Phoenix didn't roll with that. They made Elston Turner stay and then picked Lindsey Hunter over him as their new head coach.