Yes, I've absolutely lost trust in doctors and physicians. My wife suffered a minor knee injury while we were trail running last year. She went to a specialist (orthopedic surgeon) who performed an x-ray and told her he couldn't see any damage. He formally diagnosed the problem as chondromalacia patellae ("runner's knee") and sent her on her way with a cortisone shot and a referral to a physical therapy practice.
As it happens, the cortisone shot significantly increased her discomfort and pain pretty much permanently. She was warned it might be more painful for two weeks, but she still has to ice it regularly. She also left the physical therapist she was referred to because the attentiveness and level of care was lacking (she was often left with an intern, and there was no itinerary for weekly progression to recovery). She didn't see any progress on twice weekly appointments.
This left her pretty despondent, unfortunately. It wasn't until I went to several running subreddits and asked for strong recommendations for results-oriented physical therapists that we found a practice where she's actually seeing progress. After nearly a year she's just now starting to run again. Throughout this entire process, neither of us have felt particularly cared for or listened to. We're fortunate that we can spend the money on a place that doesn't accept any insurance just to see really strong care.
What really drove me up a wall personally is that this level of expertise does exist. Professional athletes routinely recover from far more significant injuries because they're under the proper direction and recovery regimen. But that kind of expertise isn't easily available even if you know to look for it. Instead people get shuffled around from one crappy doctor's office to another by their uninterested insurance agency, until they gradually lose hope and stop bothering. Then they end up in they're late 30s and 40s unable to exercise because they got a bad whatever in their 20s that no one cared enough to help them through.
It's also difficult to trust a profession which appears to systematically disrespect clients' time. This past week I had a morning appointment with my doctor. Despite arriving on time I didn't actually get to see him until two hours later. There's nothing I can really do about it, because I can't find any indication it will be like this until after experiencing it with a doctor. It's not as though this is an unsolved problem. Restaurants routinely plan to have reservations available on time so they're ready for guest arrival.
I can recognize that doctors have much more domain knowledge and experience than I do. But that makes it even more grievous when I have to pick up their slack in patient care. The level of accountability and care seems to be completely hit or miss.
EDIT: Thinking about it more, the article's premise about the trustworthiness of "closed-system experts" seems to be incorrect across the board. As an example, I once had a malfunctioning air conditioner that survived through two summers and three different mechanics. Apparently fixing a Honda Civic's air conditioner was too complex a task for their expertise. These days I just take my car to the dealership so I know it's fixed. I don't even mind overpaying as long as I don't have to deal with the anxiety of repeated disappointment. I can't imagine the desperation and anxiety of those who are at the mercy of these kinds of experts for much more serious problems. That kind of frustration is how you create supervillains.