You're obviously not following the thread terribly well, so let me explain:
Someone wrote "I don't see Belichick as the type of guy that would screw a contemporary in Sean Payton for Graham's services right now." I responded to that comment with the notion that Belichick would stab his own momma in the back to improve the team. While that comment is obviously facetious, I do not for an instant believe Belichick would choose not to offer Graham a contract because he is afraid of hurting Sean Payton's feelings.
My personal take on the matter is that if a team waives a player, they have no right feeling screwed if some other team claims that player. And if a team franchises a player, they have no right feeling screwed if some other team makes a huge offer.
My take is Belichick didn't screw Coughlin and Childress didn't screw Belichick. All they did was claim a player off waivers, which they are 100% within their rights to do.
In the future, please try to do a better job keeping up with the thread before accusing others of having an agenda. TIA.