Science works on clearly stated theory with clear conditions and therefore clear statements of what those theories predict. These things may be subtle, and complicated, or require difficult math. But they are definite and clear.
The notion that something or other comes out of the eyes and makes vision possible somehow or other is just too vague to be called a scientific theory.
Cover one eye. The image the other eye sees is unaffected. This eye can't see any difference because of that eye. Similarly, you can't tell if somebody else is looking at a thing. Say you had an unknown number of people behind a wall, some number of which are looking at a test target. You can't tell how many are looking. Or if you have a bunch of people looking through telescopes from hidden vantage points. If you can't see the telescopes, you can't tell what they are looking at.
Oh, that's not how the eye-beams work. That does not disprove it. This eye is not affected by that eye because, somehow, this eye does not affect that eye.
You look at the moon, which is 1.3 light seconds away (very roughly) and blink your eyes randomly. You never open your eyes to not see the moon. You move your vision around in irregular fashion. You never move your eyes back past the moon to observe you can't see it. So, if something is coming from your eyes and going to the moon it has to be going fast enough so as to be less than your ability to resolve time, say something like a 30th of a second. So eye-beams would need to move at least 60 times the speed of light. You can similarly see Mars, even Jupiter, even stars. We know they are much farther away. And blinking or flipping your eyes does not ever result in you being unable to see that distant object. So eye-beams would have to move arbitrarily large speed.
Oh, THAT'S not how the eye-beams work. That does not disprove it. Eye-beams don't have to travel in normal ways, somehow.
Mirrors? Somehow. Lenses? Somehow. Diffraction gratings? Somehow. Fresnel lens? Somehow.
Somehow, somehow, somehow.
No. Just no. In order to test a theory the theory has to be definite, specific, and clear. So there is no need to disprove any such theory, since there is no such theory. There is only a dogged bit of poetry.