They are two separate wars. You are looking at it from one viewpoint and not from purpose, participants or time of the war. There is always an "other side" to every war. or there would not have been a war. For example the French and Indian War is a separate war, according to the United States but England considers this to be a continuation of the Seven Year War. It's a matter of purpose, participants and time as to whether the war, conflict etc is considered a separate event. In this case, I believe them to be separate events.