As someone pointed out, the analysis of images in terms of diagonals etc is routine stuff in intro art history/art courses, but that doesn't make it less amusing.
However, to attribute "significance" to "composition" is a stretch. It implies that mediocre analysts can produce significant images.
IMO the big "significance" question has entirely to do with the way others view a photo, or our photos. If we want to produce work that's "significant" to informed/perceptive viewers we can only get there by sharing our work (prints) with those viewers, taking that chance. If we content ourselves with scattering images into Flickr or keeping them entirely to ourselves we shouldn't pretend we're dealing with significance.
"Significance" in that big sense isn't the only important goal. If one's goal is a pleasing, well-designed image, that's arguably worthy in itself.