My bias against Laviolette (what else to call it when you don't really know the difference between coaches) is about my feeling that the Rangers have all my life been chasing the template for how to win 5 years ago, never inventing their own identity. That's where the hate for the re-tread as re-tread comes in, as well as the hope for someone new to the scene.
With Shesterkin, I have little doubt that just about any coach we hire will get into the playoffs. He alone basically guarantees us 95-100 points. Sprinkle in a functional PP and you're flirting with a division or conference title. Laviolette, I'm sure, will 'have success' here, just as Gallant did. The question is whether he in any way adds something beyond the standings this season.
I was pro-Gallant at the time of hiring mainly because I loved the tenacity his Golden Knights, Panthers, and Canada WC teams played with. But the honeymoon was over for me as soon as Kreider-Zibanejad and Strome-Panarin were stapled together from the beginning of training camp, to say nothing of the D-pairs. It was obvious from that moment that what Gallant was bringing to the table was little more than getting out of his own way and maintaining the status quo more effectively than Quinn.
What's Laviolette going to bring that's any different? Maybe his rep as a 'tactician' (frankly something I'm only hearing about him now that, conveniently, the Rangers are looking for such a type) means that he'll do more instruction with the players, get them to play attentively to the system he's bringing (don't all coaches say everybody runs the same systems?). But what about this team's trajectory is changing, positively, by adding Laviolette to the mix? IDK, point is that from a very uneducated POV (my own), hiring Laviolette feels like a move meant to get more of (and a bit more out of) the same rather than changing anything this team's identity. JMHO