Stan: The rule of thumb is that stereoscopic vision (depth perception) is effective up to 100x the distance between the eyes, or about 6 cm X 100 = 6 meters or about 20 feet. Functional depth perception is about 30 feet. SO binocular vision is not of significant advantage in most clay target disciplines. Distance and speed of a moving clay past 30 feet is determined primarily by its relation to background objects and its perceived change in size.
Binocular summation refers to the improved visual performance of binocular vision compared to that of monocular vision.
Improvement has been well established in brightness perception, flicker perception, contrast sensitivity, peripheral visual field, and visual acuity.
This study states visual acuity is improved 11%
https://pubmed.ncbi.nlm.nih.gov/8350167/
Response time (visual processing) is also improved with 2 eyes
https://www.sciencedirect.com/science/article/pii/S1877042814022435

Some people may perceive a difference in size and speed of a moving object two vs. one eye; but like visual acuity from binocular summation, the difference is no more than about 10%.

And BTW (but not dominance relevant) the ability to "see things in slow motion" (Zeitraffer phenomenon) in order to process images more quickly would have a great advantage in shooting sports, and many others like ping pong and hitting a 100 mph fast ball.

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