You are absolutely right... pride, drive to win, dedication to your teammates and the logo on the front of the jersey... these are what are supposed to get the players wanting to want to work (you left out a couple of words). And I think on a certain level for hockey players, those things are the default mode. It's pretty hard for a player to reach the NHL level without them. The problem is that those things don't exist in a vacuum. They are not impervious to everything that's happening around the players, whether personal life stuff or treatment by management or any other factor along those lines.
The part of management's job (I'm including coaches here) that's beyond simply building a roster and implementing a playing strategy is to promote and enhance those motivators. They should absolutely try to avoid damaging them, if at all possible. The issue wasn't that they didn't/don't have those motivators. The issue was they lost those things due to actions taken by management, and then they failed to re-find them. Should the players have been able to re-find those motivators on their own? Yes, they absolutely should have.
There's no doubt that this is a relatively fragile group. It's still Drury's job to know that, and act accordingly. I don't mean coddling. I just mean finding the right path that minimize the damage that would inevitably be caused by moving out two of the players who helped shore up that fragility. That path did exist. Good managers find it.
I know you badly want pay to matter to all this, I don't blame you when you see their salaries, but it simply doesn't.