There are only two double-blind studies with results in that list, and one of them only had 9 participants, leaving only one result:
It's not large scale, though - 331 participants.
And that one is for treating a problem that exists in the brain, not the body. And worse, it has no fewer than 35(!) secondary outcome measures. This is p-hunting at its worst. With that many outcomes, there's a statistical near-certainty that there will be one or more "significant" findings. You could test people for drinking 35 different sodas and find a statistical significant result for one of them versus a disease.
Color me not convinced. This smells of snake oil and bad science. That there are that many studies, most of them for ailments that are especially prone to natural variations, and yet not a single focused one that show positive results says all you need to know.
This is zone therapy and chiropracty for the new millennium.