Freed from the shackles..it's amazing what can happen. TT, Nino, Trocheck...
As for Nino, he scored at a rate of 24G and 48 points per 82 games during his time in Carolina. He's scored at a rate of 21G and 40 points per 82 games since leaving.
As for Trocheck, he scored at a rate of 24G, 60P per 82 games during his two full seasons in Carolina. He's scored at a rate of 23G, 71P per 82 games in NY.
Looking under the covers a bit to understand why his production went up, it is simply because:
1) he's getting top line TOI 5v5 in NY vs. 2nd line TOI in Carolina
2) he's getting more PP time because the Rangers have gotten more PP time than what the Canes were getting while he was here.
His scoring rates (Goals and point / 60) aren't really any different than when he was under the "shackles" in Carolina. It's simply just more ice time (and playing with Fox, Kreider and Panarin doesn't hurt).
So if by freeing him from the shackles, means giving him top line TOI and Aho 2nd line TOI, then sure. Otherwise, he's scoring at similar rates in both places.
Details are below for those that care to read them:
In his time in NY, Trocheck has scored at a rate of .48 G/60 and 1.92 P/60 5v5, while playing with Panarin, Laf, and Kreider as his primary linemates.
In his time in Carolina, Trocheck has scored at a rate of .71 G/60 and 1.84 P/60 5v5 with Necas, Svech and Nino being his top line mates.
So 5v5 in NY, he scores goals at a worse rate and scores points at a slightly higher rate 5v5 while playing with one of the best players in the NHL and a couple of guys that score 40-50 goals.
On the PP, in his time in NY, he's scored at a rate of 2.24 G/60 and 4.7 P/60 while playing with Panarin, Zib, Kreider and Adam Fox (one of the best PP QBs in the NHL).
On the PP, in his time in Carolina, he's scored at a rate of 2.20 G/60 and 5.02 P/60 while playing with Aho, Svech, TT and DeAngelo.
So his PP rate of production went down in NY even though he played with better players.
The biggest reason why his production is higher is simply more TOI.
1) In his last season in Carolina, the Canes got 365 min of PP time. In his first two seasons in NY, the Rangers got 400 min. of PP time so he's getting more PP TOI
2) He's on the top line in NY so he's getting top line ES TOI vs. 2nd line ES TOI in CAR.