like ours there are subtleties, and highly appreciate the time and effort that the reviewers are putting in to digest these

We would like to thank the reviewers for their comments and feedback. Janzing et al. [9] write down the same equation, but We will follow the reviewer's The decomposition for conditional SVs follows by replacing "conditioning The decomposition is introduced in Section 3 to assist our illustration of how the different SVs attribute a model's SVs. Unlike conditional (asymmetric) SVs, causal SVs provide the right intuition in the case of common confounding. See also the previous paragraph. SVs appear to fare better than the reviewer suggests.