I dont think "Billacheat" cares one way or another where a guy is coming from, and therefore shoving it in the face of their former team...you really think Bill loses ANY sleep over the Buffalo Bills and their players/former players? We are so far beneath them its not even conceivable.
I do think he is very great at finding other teams castoffs (no matter what team), or players he covets for their fit in his system, and brings them in. They have success because everyone has success on the Patriots, and therefore it may seem to fans of those players former teams that their face is being shoved in it when those players do experience success with the Pats.
I don't man in my opinion it's a game for him, I think he really enjoys stomping on us and when it's a Buffalo guy I think he actually smiles behind closed doors about it.