The reviewers appreciated the contribution and clarity of the paper. In the discussion the main things the reviewers wanted to see is: (a) Better clarification of the discussion on identification, with clear examples where latent variable identification is possible; (b) Some updated comparisons with CFR-WASS or other modern methods based on IHDP and ACIC; (c) An ablation study showing how each new component helps. If the authors could add these things to the final version it would further strengthen the paper. I vote to accept.