Justin Cunningham, the author who doesn't think that memorizing historical facts is important, has the view that history is just a collection of disconnected, but interesting stories. He refuses to memorize anything that doesn't pique his interest.
Scott Powell, the author who does think it is necessary to memorize history, has a much different perspective. He thinks that the purpose of history is to "use the past as a resource for living in the present." In order to do that, he thinks that it is necessary to memorize all relevant historical facts -- even the ones that don't have fun interesting stories. Memorizing what happened and in what order is the only way one can fully integrate the historical context into ones understanding.
Here is a link to Scott Powell's article for comparison: http://www.historyatourhouse.com/?p=154
In my own opinion, the dichotomy is not so clear-cut. Historical stories are interesting if they are relevant in some way, because we relate to the cultures, ideas or personalities involved. I don't see that there's a big difference between Justin's interesting stories, and Scott's stories as resources; interesting stories are resources for the present. If nothing else, you can entertain with them!
What happened and what order != memorizing names,dates, and facts.