They run a PG centric offense where the PG is generally the only player on the floor who can create at any given time. They don't play through bigs, although they might post their main big up every so often and they don't have a ball dominant wing who can create his own off the dribble or needs the ball to succeed. Their PG is usually the only ball dominant player on the floor and it's been this way for years. Pick & roll, spread offense, where there's one creator, one guy dominating the ball and one guy charged with the creation of shots for others.
Ast% tends to back this assertion. NO PG's regularly are near the top of the league in % of their team's assists.
In 2010 it was CP3 with an Ast% of 45.8%
In 2011 it was basically a Vasquez/Jack combo as the PG's and they both were in the top 16 with Ast%'s of 35.7%/34% respectively
In 2012 it was Vasquez with an Ast % of 44.9%
But really, in just watching them you see the PG is the creator, handles the ball for the large majority of every possession, surrounded by guys who can't and don't create their own shots. And some will compare those %'s to that of others at or near the top, but a difference is does the high Ast% lead to your team being near the top of the league in assists, are you a top passing team because of it, or are you an average to poor team(when it comes to assists) and your PG just happens to get the majority of those assists. NO ranked 21, 16 and 23 in the league in 2010/11/12, where as a team like Boston with Rondo who also has a very high Ast% is ranked near the top in team assists(aside from when he was out injured). Bos also runs a PG centric offense but not to the extent of NO as they have other players they play through, be it Pierce in iso's or KG, a top passing big. With CP3 in 2010 NO was ranked 21, with LAC last year they were ranked 4. CP3's assist numbers haven't changed much, but a much larger portion of his team's assists came in 2010 with NO due to the system. The PG is the creator.
Point of all this is that while Vasquez does have good vision, his assists are inflated by NO's system, and here when we'll have Cuz who will be a focus and we'll play through much of the time, Vasquez won't get the same time on the ball, as many opportunities as he's had and his assist numbers will naturally decline. And if he's at 6-7 APG, without much of a scoring/penetration threat, how great is that really? It's a role player, through and through, and I personally would have rather kept the star talent who also could give you 6-7 APG(w/ a guy like MLM next to him and a better system) but also would give you the to the rim game along with penetration/shifting of the defense.