The Avalanche have flourished ever since they finally embraced statwhacking (as you so affectionately refer to it). Coincidence? No.
The Avalanche and Maple Leafs have proven beyond a shadow of a doubt that you cannot ever, ever, have statwhackers and people who are diametrically opposed to statwhacking in the same room. Roy is and always will be opposed to them. And I have it on good authority that Josh Kroenke made the push for statwhacking to be incorporated at all levels of KSE. Sakic was obviously open to the idea, Roy wasn't. Guess which one stayed?
It was worse in Toronto, where they had an analytics faction (Shanahan, Dubas) and an anti-analytics faction (Lamoriello, Hunter, Babcock). The minute Shanahan opted for Dubas over Hunter, Babcock went out of his way to sabotage him. That conflict cost the Leafs two seasons where they could've done some good. I could understand them sticking with Babs for that one season, but Shanahan erred horribly when he didn't let Dubas shitcan the guy this last summer. I don't think many GMs would succeed when they had a coach who was literally trying to get them fired.
You really shouldn't just look at Kyle Dubas as "the stats guy" because analytics is everywhere, in all levels of professional sports now. Virtually every organization around the world has utilized them to some extent. The few and far between holdouts have not fared well, and Florida just fired the guy who waged a one-man war against advanced statistics, booting anyone and everyone off the roster and in the front office who had anything to do with them. There are no "test cases" for the validity of statwhacking. It works. Everyone knows this. It's also not some magic wand that conjures a winning roster out of thin air. It just shows you stuff like, hey, that big lumbering shot-blocking defenseman might not be as valuable as the speedy undersized puckmoving blueliner. Maybe give the latter guy more money and ice time. That doesn't seem like some crazy, off-kilter idea.
I do wonder why you hate analytics so much. They're really not that big a deal. Did some securities firm and their fancy algorithm steal your life savings or something?