I get what you're saying, but I also see why Blake wants to bury that stuff in the past. It really shouldn't be all that his career is known for.
As Rorschach already mentioned, if he didn't care for the team so much, why would he keep coming back? He knew the Kings had no chance of being a contender in 2006 yet he came back and didn't complain or ask to be dealt from one of the worst teams in the league, with one of the worst coaches in team history (Marc Crawford).
His contract ran out the second time before he signed with San Jose and proved he could still play his first season there, earning a nomination to the All-Star team. The Kings were in a rebuild so the split seemed amicable the second time around.
He left a very good position with the NHL office to rejoin the Kings in a management role to replace Ron Hextall. As already mentioned, the man is well respected among players and the league office and management. That means a lot more to me than what fans' misconceptions of him.
What happened in 2001 was when there were idiots within the organization who are no longer here, mismanaging the team until Lombardi took over and set the team in the right path. Blake aside, look at how they let Robitaille go. Look at the player Philippe Boucher finally became and they let him walk away for nothing. Look at how frugal the organization was when it came to retaining their own players or signing free agents.
We can all credit this dumbass for being partly responsible for those decisions:
http://canadiens.nhl.com/club/page.htm?id=74528
The bulk of the credit should go to this talking head:
http://www.mlse.com/inside_mlse/tim_leiweke_bio.aspx
Taylor was very close to Blake and his agent, Ron Salcer. Guess who Salcer's first client was? Dave Taylor. We all know that if Taylor had complete control, Blake would've never left the organization. But now he's back, and I think a certain pocket of begrudging fans should act mature and treating a guy like Blake with more respect.