"The same effect is noticed with GMO foods. They're better in all regards, yet there are people who are afraid of them because "not natural"."
No. People are afraid about GMO because they expect private companies incentives not being healthy food but economic benefits (for them).
That means for example, that if they could flood our food plants with "Roundup" because the plants are resistant to it, and the pesticide ends in our food, and we start getting cancers 10 years from now they don't care at all if they can profit now from it.
"sometimes they rest on the idea that natural is better."
Well, natural is usually better because nature had millions of years of adaptation to the environment. You can protect yourself against natural sunlight or natural nuclear radiation because nature created mechanisms against their bad effects, but you can't protect against manmade Pultonium or xrays or cosmic radiation not protected by Ozone.
Day after pill for example contaminates water with estrogens that are not easy(cheap) to filter.