Ward comparisons are not gravitational dictionaries

The supplied Oai282-B and Oai069-A comparison manuscripts are attributed to N. Cheung, whereas the separate family catalogue is attributed to OpenAI CheungOai282B,CheungOai069A,Catalogue. These authorship records must not be merged.

Oai282-B reports a free local conformal Ward action and finite coverage in its declared homogeneous stress class, with a two-dimensional residual family. Local action is not global integration. Its finite coverage does not cover unrestricted conserved tensors. Oai069-A supplies its separate free-scalar finite defect and local-system benchmark. Neither is a gravitational fixed point or an inherited counterterm map.

As a direct kinematic check, $T_{\mu \nu }=0$ is symmetric, conserved, and trace free on any Lorentzian metric. Those identities impose no equation on the freely chosen metric. They cannot alone require a specified Einstein equation. A matter–geometry law is an additional equation, not a consequence of the tensor adjectives.

VII-H's free massless susceptibility and XVIII-B's massive stress response retain their stated vacuum, insertion, retarded, and normalization data CheungVIIH,CheungXVIIIB. They are useful benchmarks, not clock responses or gravitational dictionaries.