Lets clear this up, the ball goes foward, THATS any system, period, the end. Its not a new system, doesnt matter how it gets there, in this game, i dont want to shock anyone, but the ball goes forward. Unless its going reverse for an interception, but thats part of everyones game plan too. Defense stops the ball, again, no shock here, but you'll never hear a coach say to a player " i appreciate you got the ball, but we run a 3-4, not a 4-3. so if you stop teh guy, mae sure its our technique and not theirs, i wont have that on defense." You stop the ball, or get the ball. The words around it are just that, words. You'll also never hear after a td, "hey, you take that back, that wasnt the play we called, we call a play you do the play, end of story".
For an offense to be successful, the ball goes forward, can you be tricky and bounce it off helmets, sure, but why would you. You throw, or run it, its not science.