Yes, if you are looking down at distance for things that cannot be detected and identified with naked eyes. You are dumping rounds at something 300m away, the target goes down, rolls over and it is out of your FOV. You lose track of it . The bigger the FOV the better.
Naked eyes are naked eyes, both eyes open work for things that can be seen without magnification.
Both eyes open is how the Bindon Aiming Concept/ACOG is to be used.. Losing sight of your target is not exlcusive to optics with narrower fields of view.