From past, experience, adhering to the rules of thirds in filming is essential to the asethetics of the film. I'm not sure if it does apply just as much to photographs, but from the lecture, it seems so.
I think, to tell a good photo story, one must consider the camera shots to use to tell the story. I.e. you can use mid range shot to introduction the scene to the viewers. Medium close up shot can be used to introduce your characters. Since we're dealing with photos, it may not be appropriate to have too many elements in one photo. This might confuse the viewer; he might not know which one to focus on. Conculsions are done to leave an impression on the viewer. Maybe you can have wide shots to end your story.