I've bought the DVD and I'm just waiting for it to arrive. Because of some crossed wires, Fred was kind enough to let me download the book in advance.
Without going into the mechanics of RSoG, which is what you are paying for, I can tell you that Fred's method does give you that correlation. He could have done it, using conventional nomenclature, but that would, IMHO, have led to a slight confusion in application. I was once was involved in a very long discussion on time and it was noticeable that we got into a lot of problems, using the accepted names for time periods - because we had all grown up with them having a specific meaning and looking at them from a different perspective (but still using the accepted names) was muddying the waters. In the end we used the term "Bing-Bongs", which allowed us to create examples, which didn't carry any of the baggage that terms like "minute" and "second" brought with them.
So it is with RSoG - Fred uses Mama, etc. as alternative names, to get away from the baggage of conventional thinking.
It doesn't, in any way, attempt to re-write music theory. It simply takes a new perspective on how music theory can be applied to guitar playing. Planetalk apparently does the same, but from yet another perspective.