So the reasonable thing to do is accept that the trick works, discount the woo-woo story and don't worry too much about why it works.
maybe digging the mystery of it too, that such a homespun technology, (in the same sense that knowledge of training horses is 'technology' too), should elude the intellectual understanding demanded by double-blind tests and the like.
'woo-woo' is an appellation used to distance oneself from attempting to delve deeper into meeting the experience, rather than laying back and letting it roll over you, as you say, not worrying about the why.
what especially fascinates me is that after this brief abdication of the instinct for categorisation, one's reason seems to work better.
as if it had had a refreshing rest!
not to dismiss the importance of reason, not at all, just to put it in its place as useful complement to other sources of less easily quantifiable data. ~"When an inner situation is not made conscious, it appears outside as fate." Karl Jung~