At any rate contra your original claim it appears a psi effect has been extensively scientifically documented.
I think Scott's analysis of "my priors against this are so strong that evidence in support of it looks more like evidence against the validity of the methodology" broadly matches with mine.
Forgive me if I am misreading you, here.
"I looked through his list of ninety studies for all the ones that were both exact replications and had been peer-reviewed (with one caveat to be mentioned later). I found only seven...Three find large positive effects, two find approximate zero effects, and two find large negative effects. Without doing any calculatin’, this seems pretty darned close to chance for me.
...
That is my best guess at what happened here – a bunch of poor-quality, peer-unreviewed studies that weren’t as exact replications as we would like to believe, all subject to mysterious experimenter effects."
Either these are some quite incompetent and/or deceitful researchers, or they have found something we currently cannot explain.
I believe that the CIA used to experiment with it, but nothing useful came out of it.