Well, the most obvious example is the distrust towards vaccines. Because of the (justified) distrust in some of the political decisions to push (mRNA) vaccines regardless of sufficient or insufficient testing (where some scientists such as Faucci played a dirty role, I concur), many people now flat-out reject the proven efficacy of long-tested vaccines in general (some childhood diseases are now on the return and becoming deadly again because large communities refuse to vaccinate their children completely) or, arguably, fail to acknowledge the promising future of mRNA as new technology.

Or the reliance on anecdotical evidence to push for all-meat diets and the anti-seed oil movement. These diets might have a promising future ahead, but that's why the scientific method exists. To test, with control groups, and adjust existing knowledge in light of new evidence. And not because great leader Saifedean says so :)

Then again, the vocal Bitcoiners expressing these anti-science ideas are probably not representative of the majority of quiet Bitcoiners...

Then I thankfully don't know the community much, what kind of distrust in science bitcoiners have expressed?

didiplaywell

Good to see a few Stackers here with a proper understanding of how the scientific method works... welcome to the ~science territory~~ It's depressing at times to see how much distrust there is in science these days, especially in the Bitcoin community. 

south_korea_ln

science

Why physicists now question the fate of the Universe

sefiro

True, and eventually with more accurate measurements every theory has its limits and a new one is needed. 
And different theories can coexist in their own limitations. I like to think of Newtonian mechanics and SR/GR. Newton’s theory is still good at low speeds and weak gravity, although Einstein's theories describe it more accurately and within broader limits. 