Your terminology is a bit off.
Reflex sight is a synonym for red-dot sight.
An Aimpoint is a specific brand of red-dot sight.
I'm assuming that you're choosing between a closed tubed style sight vs a open style sight.
To answer your question: The tint does not affect your acquisition time at all.
I own a tube-style red-dot sight. I chose it purely because of durability and price issues. I considered the perceived wider viewing area of the open-sight at first, but later realized that your eye has to be directly orthogonal to the screen in order to see the dot anyway. So in that respect, both styles are more or less the same.
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