Computation, Causation, & Discovery starts with an overview chapter provided by Gregory Cooper

The hope that no correlation implies no causation is referred to as the "causal faithfulness assumption".

While the faithfulness assumption is plausible in many circumstances, there are circumstances in which it is invalid.

Cooper discusses out Deterministic relationships and Goal-oriented systems as two examples where it is invalid.

I think that causal discovery literature is aware of Milton Friedman's thermostat and knows it by the name "Failure of causal faithfulness in goal oriented systems"