Glazing - what glass are you referring to? The True-Vue Museum type glass, ie, anti-reflection coated or as you stated, "non-glare" glass which is usually a glass with one side etched to diffuse the reflected light?
If you mean a coated anti reflection glass, that fits with your goal of "open a bit more the pupil of the eye and so see more details". But non-glare glass softens the entire image and LIMITS your ability to see detail.
I personally never, ever use non-glare glass.
And for what it is worth, I've standardized on white matting with flat black, rectangular, plain, aluminum or wooden frames.
Brad