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I have two Ducky Shines, both with MX blue switches, one at home and one at work. Although otherwise identical (apart from backlight colour), they sound completely different. I put that down to the much thicker wood my work desk is made of.
Thus I would say yes, it would have an impact, as the keycaps bottoming out would transmit their force and thus sound through the keyboard case and into the desk.
I have not heard of any commercial offering in this area, however at my work there used to be a couple of big padded mats with built-in wrist rests. I was looking for one a few weeks ago, but couldn't find any. Something like that might have an effect, and I was hoping to try one except I think they might have been discarded a couple of years ago.