It really depends on what the deck I'm playing is, and what objectives come up.
For example, let's take Nate's DS deck from the news articles. If I draw Fall of the Jedi, Counsel of the Sith, The Emperor's Web, and Death and Despayre, I'm probably going to start Fall, Counsel, and Despayre. For one, it starts me with two sources of resources for each affiliation in my deck. Fall of the Jedi is excellent as it lets me cycle two cards out of my hand the first turn and every turn it remains on the board, and even if I only want to cycle a single card, Fall lets me "discard" it without giving my opponent any information at all. That leaves a choice between Counsel of the Sith and The Emperor's Web. While The Emperor's Web allows me to essentially have an extra resource for an event every turn, in this deck, the only card it actually affects is Force Lightning, and it's the most fragile Objective in the game. On the other hand, Counsel makes sure I always have an extra card during my opponent's turn.
Now, what if the draw had been Fall of the Jedi, Reconnaissance Mission, Counsel of the Sith, and Death and Despayre? I would probably keep the first three. Reconnaissance Mission increases my hand size by 1 as long as it remains on the board, it would take a very, very unique set of circumstances to make me not choose to keep it in any opening draw. Fall is another really, really good card to have access to, and between it and Reconnaissance mission, I can draw up to 3 cards on my first turn. So once again, Counsel has to fight against Death and Despayre. In this case, I'm more concerned about being able to play my cards…if I choose Death and Despayre, then yes, I'll have the 5 resources for a Turn 1 Vader, but I'll also have only one source of Sith resources, and those are hard to come by outside of my Objectives. Of all the cards in my command deck, only one, a single Advisor to the Emperor, produces Sith resources. On the other hand, I have two Tarkin and four Control Room that provide Imperial Navy resources in my command deck, an indestructable source in my affiliation card to let me play those, and a heck of a lot of draw power in Fall, Reconnaissance, and Counsel to dig for them.
Just some insight into my thought process.