MD doctors poll at extraordinarily high levels of trust, over almost any other professional group in the United States. So it really isn't correct to directly link this article's topic to "distrust". The effect you're talking about may exist in science, but this article is essentially a counter example to the effect you propose: clinicians publishing bullshit, but retain a high level of public trust.
Especially because the article is basically entirely quoting practicing scientists who identified this problem in the first place! More real scientific training or collaborating for clinicians who want to (or have to) do research could potentially improve the situation.