Draft record back to 2009, 12 years, before trades is here.
en.wikipedia.org
Best picks are definitely Rudy and Donovan; third best is absolutely Hayward.
Probably Alec Burks is 4th, I'd say, then maybe Hood. Josh Hart doesn't count because we traded him for Tony Bradley. Neither does Prince, who we traded for George Hill. Neither does Tyler Lydon, who we traded with Trey Lyles for Mitchell, which might be the greatest heist of the last ten years. And neither do Dieng or Shabazz Muhammad, whom we traded for Trey Burke; that's probably a wash.
If you eliminate those folks in favor of the players we traded for and Gobert, whose pick we bought, the Jazz made the following lottery picks since 2009.
2010: Gordon Hayward
2011: Kanter and Burks
2014: Exum
2015: Trey Lyles
2017: Mitchell
I'll say we batted .500. We got lottery quality out of three of those. Two are stars and Burks is legit starter. Kanter and Lyles are backups. Exum was a bust.
Overall on first round picks since 2009:
Maynor
Hayward
Kanter
Burks
Burke
Exum
Hood
Lyles
Mitchell
Gobert
Bradley
Allen
Dok
Rotation NBA players: 10/13 (cutting Maynor (who, in fairness, lasted five years), Exum, Dok. The rest are all, indisputably, right now in NBA rotations.)
Starter quality NBA players: 4.5/13, maybe?: Mitchell, Hayward, Gobert, Burks. Maybe Allen or Kanter or Hood; meh.
Star quality: 3/13.
My conclusion: not great lottery batting average, but not terrible overall.