No but they opposite can be true. The whole "Adams overvalues his players" thing. Imagine you're a GM of a team targeting a top Sabres player/prospect. You essentially offer a bag of pucks hoping to swindle Adams who you see as inexperienced. But he doesn't bite. What do you do next?
You run to the Dregers, Friedmans or Seravellis with the hot tip that Adams overvalues his players because you know the fanbase will go bonkers, and maybe put pressure on the Sabres. You'll notice we don't hear that trope anymore.
As to your point, I don't think the Sabres talk to any press. Note how no one knew about the Kekalainen hire before it happened. Not Dregers. Not Paul Hamilton.