I doubt it.
But they have enough PR guys that I suspect at least one of them does. They get so much feedback already.
I would think anyone with actual NFL management experience---especially 30 years of it-- might, after many years, be smart enough to avoid these places.
Think of the stuff people say here.
Here's a guy who played ultra high level college football (Team Captain at Arkansas), who's son played D-1 college ball, who's grandson is playing D-1 college ball (and was state champ QB)....and a man who has been immersed in the game his whole life.
Yet he could log onto this site a find two dozen people in a day who have never worked in the NFL a single day (or spent a 100s or 1000s of hours discussing football with Jimmy or Parcells or Weinstadt or Turner, etc) or whoever played the game at a high level, yet THEY say HE knows nothing about the game.
Think how bizarre it would be.
Also think about how nobody here can even agree on anything except that we would like to win it all, so there would be no general insight to be gained except that, well, nobody can agree on anything.
It would be very non-productive