> But that's irrelevant.
Certainly not within the constraints of Football.
The Linebacker's entire focus is going to be on pushing against the other linemen once the play starts. The linemen are not going to know what's going on over there, their eyes are literally not looking at what everyone else is doing. (Well, a decent lineman can sometimes snatch the football if a quarterback throws it too low over their heads. But... linemen definitely don't have their eyes on much of the game)
The fact that you only have two eyes leads to the constraints that is the game of football. Skilled players keep watch over other players: where they are looking and how they are moving.
The "hidden information" is literally their eyes themselves. You can't see things that are behind you. That's how you sack a quarterback: you run at them from an angle that they're not looking. That's why trick plays work, because you have an expectation for how those people will move... except they moved in a way you didn't expect (and were blind to seeing, because you were doing some other job).
A good quarterback takes advantage of this: the top-tier quarterbacks can look at one player (and all the defense start focusing on that player, say the wide receiver), but then blindly throw the ball to someone else (!!!), based off of timing alone. That's why playbooks matter in the game. This isn't even a "trick play", this sort of stuff is the basics of football.
The quarterback never looked at say, his tight-end for the play. The quarterback just "trusts" that the tight-end is in the correct position. By looking at the wide-receiver, the Quarterback is obscuring his intentions and is misleading his opponents.