What the supplied manuscripts establish

The following statements are comparison data, not lemmas about the regulated operator defined here.

-A. For its switched scalar action and its unswitched harmonic Cauchy problem, VII-A proves first- and second-order plateau intertwining. Its first-order cancellation uses

It also retains the larger-support defect. Its named metric equations are unswitched, and it does not construct a switched gravitational quantum theory VIIA.

. VI separates geometric solution-jet descent from a switched retarded assignment on unchanged free inputs. It proves a first-order compact-switch defect for that assignment and explains why a second-order term cannot change the defective first coefficient VI.

. III distinguishes an unchanged free-product quotient, free-shell tangency, and descent on a named coupled first-order jet. Those are different equation spaces. None is the off-shell domain used here III.

-B and IX-A. VII-B excludes its sharp zero-Cauchy insertion from its specified off-shell polynomial microcausal domain. IX-A places that insertion in a different classical carrier with a boundary-sensitive topology, without constructing a quantum product. Neither defines the regulated auxiliary metric used below VIIB,IXA.

tracks. No result from IX-E-2 or IX-E-3 is used. In particular, a boundary-trace certificate or a conditional support bridge is not a construction of a two-insertion product. No cone model, measurement token, finite contact matrix, or Hilbert-space model enters this paper.

Relational-coordinate constructions are comparison background Frob. They do not supply the covariance of the convolution prescription frozen here.