Most likely, the main difference between Drury's dumping of Goodrow/Trouba and the other dumpings (McD, Stamkos, etc.), is that Drury already had the reputation as a douche. It's one thing to be "just businessed" by an otherwise decent GM with some level of people skills. But when a guy you already don't like does it, that's something different altogether.
The message in all of this is that the players can't stand Drury and don't want to bust ass for him. He's easily replaceable, so just ... replace him. He hasn't created an atmosphere where the talent wants to perform, and that's a huge piece of his job description.
So just move on. It's not as though his personnel skills are irreplaceable or anything. Frankly, those suck, too.
Call me crazy, but if you can't judge hockey talent and can't manage hockey talent, and hockey talent pretty much can't stand you and doesn't want to work hard for you, NHL GM probably isn't the job for you.