Why VII-A–D do not provide a source instrument

The supplied manuscripts establish distinct results:

• VII-A gives a second-order classical plateau intertwiner, not a quantum source algebra CheungVIIA.

• VII-B excludes the unchanged sharp-Cauchy insertion from its declared off-shell microcausal polynomial domain; its linear on-shell repair is not an interacting source instrument CheungVIIB (Theorem thm:main).

• VII-C excludes one normal-topology Wick extension under its stated continuity and old-product agreement requirements, not every possible boundary theory CheungVIIC (Theorem thm:coefficient and Corollary cor:noalgebra).

• VII-D gives one strong numerical finite part and a complete regulator conversion, not an interacting observable algebra or stress tensor CheungVIID (Theorems thm:finitepart and thm:conversion).

Consequently,

A field-theoretic successor must independently specify a source domain, state, renormalization, smearing, and completely positive instrument. Only then may normalization changes be tested against the geometric observation boundary. VII-E's descent and counterterm-blind tests provide a comparison dictionary, not a product construction CheungVIIE (Propositions prop:descent, prop:blind-tests, and prop:presentation).

Nothing in the present finite argument constructs a missing characteristic graph product, a quantum Ward identity, or an admitted interacting coefficient.