The photo of the flag-raising on Mount Suribachi, identified in this post as staged, was not staged. The photographer, Joe Rosenthal, has explained this thoroughly many times over the years. He took the original photo of the flag-raising as an unstaged grab shot. Later, realizing that editors would want the faces to be visible, he staged a photo with the soldiers standing smiling in front of the flag. He then filed his pictures and went on with his work.
Later, without having seen which photo was used in the press, he met another photographer who congratulated him on the photo and asked if it had been staged. Assuming that it was the set-up photo that had been used, he said, "Sure." It was only later that he discovered it was the unstaged photo that had become famous… but his momentary misunderstanding has clouded the facts ever since. (Many articles are available that show both photos, making it clear that the photo of the smiling soldiers was the staged one.)
Of course this does not invalidate the contention that photographs are selected and interpreted according to the user's desired representation of a situation. But if one intends to take photographers to task for making inaccurate claims, it is important that one takes care to make sure one's own claims are accurate.