*sigh*
Go outside with a friend. Have him snap you the ball and then turn and try to throw it at a target. After 2 or 3 tries you will be able to do it almost every time. Now imagine you are an NFL QB who has practiced making that throw 1000 times.
The solution here is not to make the offense weaker, it is to make the defense stronger. The risk in pulling up and throwing instantly is not that you will be innacurate, it's that the defender is in zone and will jump the route and snatch the ball before the receiver can get there.
This is why the real-life play where QB's pull up and throw on a called running play is so dangerous. If the corner sees it coming, it's going the other way for 6.