The discussion has tended to conflate interruptions and distractions, but of course they are different. I have known people to be distracted by the the sun coming in the window, or claim they can only work with headphones on. Yes, I am a bit skeptical of such claims, but it's generally not my problem.And...I'm not clear on what your point is. At all.
It appears that your argument is that reducing distractions has no value, that we should not make any attempt to do so, and that it would, in some way, actually be wrong to attempt to do so. Is that what you're saying?
If not, can you clarify what you're saying?
I am saying that interruptions are a part of life and work and are sometimes important or necessary. I also claim that we can get better at dealing with them, and that GTD has helped me a lot in getting better at handling them. I find that interruptions are less disruptive because I have tools to handle them, and distractions less an issue when I am clear about my work.
I dislike the "deep work" concept because it suggests an elitist stance towards other work, and seems to devalue the flashes of insight that I find can come any time to a mind at rest. Research and writing seem to me to be normal human activities; scientific reasoning is not some special way of thinking that can only be done in silent communion with the universe. I am a pragmatist and a meliorist. If "deep work" helps you, great. I have found GTD to be very valuable, "deep work" not so much.
"Do not say 'I will study when I have the time', for perhaps you will never have time." (Pirkei Avot 2:5)