Good analysis, but I would quibble with choking 2007 against the Datsyuk-Zetterberg-Lidstrom-Hasek Wings. Sharks only led 1-0 and 2-1, but the Wings evened it up and took it away in 5 & 6. Then lost in the WCF to the cup winner Ducks. Hard to be ashamed of losing to those Wings.
Definitely were big favorites vs. Ducks in 2009 but with a lot of hindsight it's not too surprising they lost against a team that still had Pronger, Niedermayer, peak Getzlaf, peaking Corey Perry. At the time though, felt like a huge bed shitting for sure.
As you said, ultimately the 2007, 2010-13, 2016 years were just getting beat by better teams despite the star power on the Sharks. We lacked depth, which is why the star players were shut down / "didn't show up." The choker rep came from 2006, 2009, the 2008 DAL series early underperformance as you pointed out, and obviously cemented by 2014.