The Patriots are notorious for picking up players that are cut from division rivals. And the Jets just happened to bring in Hagan yesterday for a workout. You can't tell me there isn't some bit of strategy in those actions where they are looking to get some bits of information about their former teams that could help provide even the smallest of an edge.
Normally I think this sort of thing is unnecessary as there is a lot of film out on what teams will be doing and have done. But, given the secrecy around Tebow and how the Jets will use him, and there is no game film of him in the Jets offense yet, I think Nix would be smart to use this tactic and see if they can gain any inside information.