Suzuki has always been cerebral, in junior and the pros. He just thinks the game at a different level. He's looked better lately because he's playing with better players. And yes, that does make a difference.
Playing with Kovalchuk is like playing with a kindred spirt and an obvious elite talent. The difference's are slight, but you go from thinking of putting pucks where you think someone will be, to putting pucks to where exactly they should go and another player is instinctively thinking the same way and going there. Two players can look at the same mass of bodies in front of them, one sees the chaos of an angry sea and chips it in, the other see's a variance of moving swells and reads the current like a pro surfer knowing the perfect wave is coming before it even forms, and feeds to puck there knowing his linemate see's the same thing and will be there.
Suzuki is going to produce no matter who you put him with, but he's going to produce more with higher quality people. That goes for all our skill guy. You can play 15 minutes a night with a guy, but if all he is doing is dumping it in at the blue line and chasing it, well, you aren't going to generate the same type of chances as playing with someone pushing zone entries and forcing D to back off the lines every shift.