I work at a clinic that offers holistic options, including canine massage therapy, cold laser pressure point therapy, and acupuncture. We're just starting to offer it as an option to all our clients so I personally have not had enough data to really answer with much authority, but I have had a few personal experiences with it.
I fostered a possibly-FIP positive cat that had some acupuncture done. With 'western' medication we were having occasional soft stool and coughing. When we added acupuncture (just one TX!) that cleared up immediately with no recurrence.
When my male had severe gastric issues w/ chronic diarrhea and vomiting (unable to pass food into the small intestine, vomiting sewage etc) we tried acupuncture on some vomiting/diarrhea points in conjunction with western TX. No effect.
There was a hunting dog that had half her rear paw removed (cancer, we took a lot of muscle) and was expected to have very limited mobility and use of the leg after SX. Her owner is our licensed K9 massage therapist and worked on her. Shockingly, she regained complete use and ROM of that leg. Completely against expectations. Very impressive.
My male also had pano, we went for massage therapy and identified the areas of concern. Massage therapy made his lameness worse for a few days but gave him some relief after that. We also tried cold laser therapy every other day for about five treatments, again... moderate success. I doubt whether it made any difference, since pano is cyclical.
Now, for surgery sites cold laser WORKS. It's amazing; it even eliminates the 'knot' on spayed cats in our clinic when applied immediately after close and once again the next morning. It made a great deal of difference in a few of our elderly patients with arthritis (in conjunction with Adequan and vetprofen). Greatly reduces bleeding and swelling on ear trim incisions. Dramatically reduced swelling in neuters without scrotal ablation.
Hopefully with time I can tell you more about our client's reports with our new all-patient options!