“There is no way to tell what they claim from the study they performed.”
We need only read the claim “to tell what they claim”. The study itself is irrelevant to understanding the claims made.
But your criticism is correct. The study is yet another entry in the vast body of “cargo cult science” that Feynman criticized in his famous 1974 Caltech commencement address.
Scientific method — how does that work?
Self selection bias, but “cargo cult science” about covers it.