Upload & Sell: On
I very much agree that a "photo ought to work on its own without explanation".
But, its a complex idea. Music appreciation classes, art history, understanding the historical background, technical challenges in architecture, scientific discovery to name a few, can enrich appreciation and widen the enjoyment.
Your explanation of your goals help to understand "the artist's vision" and to potentially appreciate your work though a different lens, so to speak. It also aids critique dramatically, since we can now comment on how well your goal seems to be achieved, your vision realized. But, the bottom line is what you are happy with, what works for you. Not all creations should strive for mass market appeal, thankfully!
Looking at your diagram of your image reminds me of some of the critical analysis I am used to seeing from Craig Tanner who I took a workshop with. This kind of approach lends itself to understanding balance, depth, interplay of compositional elements, flow through, across, around an image and, as Kent pointed out, guides focal processing work.
The idea of a global effect, less of a specific area of focus and more of a capture of the impression and impact of a full scene of course makes sense. Some minimalist images I have done, some abstracts also make global impressions (ideally). However, its also nice to return to parts of an image and find more detail, more areas of interest. So, it depends once again on the goal, the interaction between artist and viewer.