(This connects to the Bayesian view of causality, at least so far as I understand it: reasoning about causation involves reasoning about interventions and not merely about observations. Observed correlation can only tell us about statistical, rather than causal, regularities; in order to discover authentic causes, we have to consider intervention.)

This isn't a "Bayesian" view of causality. You don't have to be Bayesian to be a manipulationist and you don't have to be a manipulationist to be a Bayesian.