I cannot imagine why Greeley is playing this game, unless he does NOT have any information and is using bravado, or the information includes some close personal friend(s) whom he does not wish to betray.
But I think a prosecutor could have some fun here. It's well known that you can get a grand jury to indict a ham sandwich. Surely one can pull an 'obstruction' charge against a Smug Sociologist...
But then why say anything? He wants the attention? That sounds like a dangerous game. Why doesn't he put up or shut up?