We should be distrustful of medicine, of all science in general. Ignoring flawed methodologies or inconclusive results just means it's no longer science, it's ideology. I'm a physicist though so perhaps I could be overly jaded about science and peer review compared to most scientists
You simply can't apply the rules of publication in physics to medical biology research. Even highly quantitative biology is noticeably different in terms of standards of proof and quality of models.
I haven't seen any real serious replication problems in physics that didn't get cleared up, or anything else that would make me doubt the results.
I would generalize the statement: assuming a reductive order of sciences (medicine->biology->chemistry->physics), if one cannot trust a layer, it seems even more likely that layers above it should be trusted even less.
