Just because we haven't researched the CBT roots of AVRT doesn't mean there is no research. To reiterate my point, 99% of people who drive a car every day have no idea how to build or work on one. It's not necessary just to use one. AVRT is like that. I'm sorry I don't know more about it; if I did I would tell you. As for RR I don't know anything about it.
Why not try it for yourself? If it doesn't work then fine, it doesn't work. Alternatively you could probably write or email the author to see if he can explain the "inner workings".