I'm fairly certain that those advanced stats you're talking about were virtually as good under Torts, especially in 11-12; that team had fairly good possession #s if I'm not mistaken. Both styles of play can lead to good possession #s in terms of advanced stats, and so how you get off claiming that these numbers would lead to a "statistical conclusion of which team's style is more correlated to winning," I have no clue. Not sure you do either.
That said, I don't track them as closely as the guys you mentioned, and don't know for sure what changes may have occurred this season (but I vaguely remember reading something that indicated it was about the same, maybe a slight increase this year). Anyone who actually does, feel free to hop in.
I was pretty sure that team was middle of the pack, but maybe I'm wrong, hope someone can help us. I can't believe that team being one of the better possession teams in the NHL. In the playoffs they were probably one of the worst teams in that regard. They were constantly pinned in their zone. But they were better than that in the regular season I will agree. I don't have the stats from that regular season, maybe someone can help. I don't see the Rangers looking like they did all playoffs that year, this year. Seriously, they had a 3 game stretch probably since December that they were significantly out-possessioned (Carolina, Minnesota, and Winnipeg). They're usually at worst slightly worse than their opposition unless they're protecting a lead in the 3rd period (like most teams and that's why that gets adjusted in the stats), but usually come out on top, sometimes by a lot like they did against the 100 point Habs without 4 important skaters on this team.