Whether or not it's appropriate to be using sports analogies here, it's not true that football is unique in the secrecy of information. Plenty of sports have information that is known between teammates and not shared with the other team (baseball pitchers don't communicate what they're going to throw, basketball teams draw up plays, etc.).

The only thing that's unique about football is how much complexity they can factor into each play since they've got 11 players to work with and there's a stoppage before each play during which they can regroup and coordinate.