Standing non-identifications

• The cone and its extension condition remain prescribed inputs. Symmetry, conservation, and zero trace do not impose Einstein's equation. For example, in a regular flat chart $t_{\mu \nu }=k_{\mu }{k}_{\nu }$, with $k\ne 0$ constant and null, is conserved, symmetric, and traceless, but the local Einstein tensor vanishes while $t_{\mu \nu }\ne 0$. This is the separation recorded in I-B and X-A-ST CheungIB (:not-source) CheungXAST (:noeinstein).

• A Green inverse is not a time-ordered product. The convolution prescription of X-A-conv-ST is not repaired or unfrozen by this paper CheungXAConvST.

• XI-E's named flat-background Hadamard algebra is not a state or Hadamard construction on this cone CheungXIE. O7 remains unresolved here.

• The instantaneous spatial kernel named in Em02-E is not identified with this retarded wave kernel, and no cosmological lapse is constructed CheungEm02E. This is an exclusion of an identification, not an imported theorem about Em02-E.

• I-B's finite transport theorem is a finite register operation on a declared route, not the continuum operator $G_{\pm }$ CheungIB (:transport). Likewise, a complete finite-interface simulation bound is not a continuum kernel estimate.

• No conical graviton, ghost, auxiliary, Maxwell, Proca, or spinor system follows from replacing a scalar wave block.

• The companion charts' Ward, covariance, admission, residual, and product ledgers are unchanged. A documentary separation, source relationship, or shared vocabulary is not a proof-transfer hypothesis.

• XVI-N is not discharged, XVI-O is not updated, and XV-B is not opened by this paper CheungXVIN,CheungXVIO,CheungXVB. The scoped O.1 status remains NOT_CLOSED{} where it was not closed; bulk_ symmetry_ restored{} is not promoted to true. No inherited characteristic or radiative quantum coefficient is admitted.

• No OpenAI-family identifier, finite evaluation family, or transport catalogue is identified with a cone, holonomy, Green distribution, or quantum field.

. The intrinsic scalar Green operator is constructed after an extension has been supplied. Friedrichs gives intrinsic causal support and an explicit diffraction formula. Agreement with a flat-completion laboratory requires both a retained-support certificate and an arrival window. Finite Enter reporting can preserve supplied values and residuals but neither supplies those analytical hypotheses nor closes the remaining extension, state, gauge, or product problems.