The reason someone would want to understand this is that if you are a professional you can easily make choreographic changes to exercises to provide variety.   Whether teaching a reformer class of 4 or 12 and needing to make modifications for one person benefits all in both brain and body health.  Looking at all the equipment now in studios whether the mat or reformer or spring wall or chair, knowledge of these spinal exercises makes creating exercises a breeze, i.e. thinking on your feet.