There are a lot more comparisons of correlation vs causation in the lit: https://www.gwern.net/Correlation Benson is right there's no consistent bias; the problem is that estimates differ drastically and examining overlapping CIs is typically just plain underpowered a test.
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Which is why my suggested conceptualization is to treat it as a mixture model and ask how often the randomized effect sizes are drawn from a different (much narrower) distribution...
End of conversation
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