On some level I feel like I can recognize why people would feel like this is a thing, especially because a lot of people can be incredibly condescending and rude when they try to correct people's misunderstandings about how science works. Plus there are, unfortunately, historical cases where people were told information by scientists/doctors they trusted that turned out to be outright false (think Tuskegee etc.) that I think resulted in a sort of engrained mistrust of academics and doctors in a lot of groups who were afraid of being taken advantage of. I don't think it's a bad thing necessarily to question certain aspects of medicine or the treatments being offered to you by a healthcare provider or even just asking why a certain procedure/thing is done, and I think people who ask such things should be able to ask them with the expectation that their questions will be answered respectfully and kindly. It's also important to recognize that not everyone has a very high science or health literacy even if they may be well educated.
At the same time I have a hard time with some of these people because they don't just have questions, they feel like they have answers too. Opinions that are isolated from new knowledge and resistant to change are very detrimental and really result in people who erroneously believe all sorts of nonsense about how medicine and health work. It becomes extra difficult when they paint themselves as martyrs and somehow twist other people trying to gently correct them into a weird version of "See? The establishment is trying to suppress this so they can take advantage of you!!!" Alternatively, some lack the humility/humbleness required to refuse to acknowledge that a degree in XYZ unrelated thing doesn't exactly make them an expert in medicine/a random scientific field/whatever. It's hard to find a happy medium between being respectful and educating someone without wanting to sit down with a few infuriating people and throttle them.