Nik, you forgot to mention market inefficiencies in regards to Moneyball.
Yeah, but he was referring to the movie rather than the book and the movie is less about the exploitation of market inefficiencies and more about the reliance on numbers over scouting.
But, you know, still helpful.
Ok, so I was taking a risk and putting that out there, but I don't see you offer anything other than bashing others and give negative comments. So let's hear what YOU would do with this team to improve with all of your hockey wisdom. 
The problem with a statement like that is it's impossible to tell which decision should be made without all of the information at hand. It would be great if a person could just say "Well trade for Getzlaf, and then Kopitar, and then Lundqvist", but without having first hand knowledge of who is available, for what price, it really isn't fair for someone to speculate.
This is why the you have to focus on what Burke *has* done. The choices he has made at a given time. And really all you can do for any choice that Burke has made is say whether or not you agree with the decision.
Burke *may* be able to do a lot in the future, or his hands *may* be tied. No one can really say how things are going to unfold.