I do think the intangibles can matter. But the way Hockey Guys just lazily leap to that wet pile to dredge out "analysis" like this is downright boring. It's a default thought-free response that liberates them from having to actually analyze a team. It's stupid. Especially since there's an abundance of intangibly awful teams and players throughout sports, including hockey, who have won. If intangibles are such an urgent, overriding factor that trumps all, even matching or exceeding roster construction, then that shouldn't happen.
The 80s Mets and Raiders were dumpsters of humanity and it didn't matter. Yzerman, Ovechkin, Stamkos, and Crosby were all derided as toxic losers on teams loaded with more of the same; choke artists. It didn't matter. Ty Cobb's biggest rival was his own teammate, Crawford. They hated each other. Didn't stop them from becoming the GOAT double steal combination.
The first example that comes to mind of intangibles definitively being the primary, true cause of failure are the 1919 White Sox. A team that was full-blown great despite everyone hating each others guts and actively playing to spite and hurt one another, culminating in players fixing the World Series against themselves. And even then, despite these flaws that should have been crippling, the team was so good that it made the throw obvious immediately.
The last time the Flyers went to the Finals was with a squad that was reputed to be thoroughly toxic with trash leadership and riven into factions, and yet none of that slowed them down; it was bad goaltending. The same trash elements were later crucial to two wins elsewhere, because the truth is that this stuff isn't nearly as important most of the time as writers and fans claim.
Intangibles as presented by hockey media are nonsense. They're a lazy bullshit crutch used by lazy bullshit writers to perpetuate a lazy circle jerk narrative that keeps fans stupid and prevents them from having to do work or risk offending the hockey management they worship while using puddles of their own drool as prayer mats.