Will you publish "X is associated with Y", or "we observed weak correlation between X and Y in self-selected subgroups from already self-selected population"?
Unfortunely, first approach dominates observational studies.
The reality is that we all are trusting "science" to one degree or another. I absolutely agree that all experiments should be repeatable and independently verifiable, but in the real world science (in my opinion) very much depends on trust. We don't all have time to verify every experiment.
Both of which are common.
It is perfectly rational to believe X in this scenario even if I didn't test all of it myself.
I don't trust people who claim Y, get angry whenever I try to test any part of Y, the few things I test about Y aren't true, the people I know who tested other things about Y also saw that they weren't true.
It is perfectly rational to assume that Y is just nonsense in this scenario even if I didn't test all of it myself.