Reading the article The Science of Storytelling,  I agree that telling a story is a very powerful and a persuasive tool. Retelling a story helps also helps to keep the brain busy in many aspects: using the memory to recall events, figuring out what events need to be retold and what you can keep out. I feel that my children benefited from story telling because when they were young i would read stories to them every night now they both love to read and recall many events that had taken place in the stories that  read to them. The thing I disagree with is if the story that is being told is not an interesting one then most people will not remember it and they will start to zone out so sometimes I think that the brain will shut off certain information.
Story telling is a great way to get people or students to pay attention to you but you must make sure that they story you tell and how you say it will catch the audiences interest about that particular thing or event that you were telling