Not to try to beat this thing too much, but if the goal is to loosen the ligaments, I would be very cautious. Ligaments have a small amount of motions available in the normal state. Overstretching them would produce "ligamentous laxity", which is always a concern. Perhaps this method that you speak of generically talks of lengthening the ligaments, but I find this troubling. Rolfing does not focus on lengthening the ligaments, but focuses on the soft tissue (fascia and musculature) as does myofascial release. One of the banes of repetetive old school chriopractic was the fear of looseing the ligaments and making a person unstable.
Reviewing the website you posted shows a good deal of research to back up the CBP technique. They stress the importance of prolonged traction as a means to address the soft tissue, normalize normalize tissue length and return spinal curves. The photos of treatment positions that they use are a bit extreme for my tastes as a therapist, but I would trust that they have been shown to be effective. The fact that they recommend 36 visits, with a possible 36 visit follow-up routine does seem extreme. While I must say that I have seen a few patients for more than 36 visits, this is certainly not the norm. Good application of myofascial release (or rolfing for that matter) by a trained therapist should seldom take this amount of time and money to achieve the results that they claim.
The bottom line seems to be that unless one addresses the soft tissue causes for spinal mis-alignment, gains will be only temporary. A patient should investigate the intervention that they are interested in. If it seems appropriate, it is worth a trial.