How exactly does credibility matter here? Science is heavily reputation based because there’s so much at stake and so few experiments take place, but with anecdotal evidence I don’t see the credibility of individual datapoints mattering much.
I can’t tell if I minimally influenced my upper respiratory tract infection risk etc, all I can tell is the hassle wasn’t worth a benefit too small for me to notice. And that’s the issue, more than credibility if effect size was large enough to be noticeable to individuals you’d get extremely strong results from scientific studies. Conversely if it isn’t showing up as extremely effective in the literature that’s strong evidence individuals are misattributing their experiences.