I worked with an older gentleman for the last decade until recent layoffs who had worked on Oregon Trail for MECC. Single most productive person I've known in my life. I aspire for half the career he's had. His desk was absolute chaos. He had multiple computers on his desk across an unmatched mix of monitors, all as described above, controlled with Synergy.
The least productive people I've known have clean aesthetic desks, no icons on their desktop, and inbox zero.
Don't get me wrong, there are absolutely people that are a mess that aren't productive at all. I have worked with them too. Frankly, in their case, cleanup like this suggests probably would actually help. I've just never seen the opposite.
I just know that the most productive people I've known have been insanely good at managing chaos, and lean into it.