Selected-image statements (Gate V; formal-versus-fixed kept)

1. Formal reading: the formal universal-jet collapse image of this selected graph contains no nonzero variational tensor of total derivative degree $D\ge 1$ (${\mathrm{SA}}_D=0$ for $D\ge 1$). This is a vanishing inside one selected image under one reading; it is not a global obstruction to derivative counterterms.

2. Double plateau: the specified quadratic Einstein–Hilbert Euler tensor is not in the selected double-plateau collapse image. Membership outside that selected image, or after other diagrams, is not addressed.

3. Time-only readings: the variational image is the $26$ ultralocals (${\chi }_{\mathrm{I}}$ formal) or $572$ spatial-only, non-Lorentz directions (${\chi }_{\mathrm{I}}\equiv 1$); only $P_1-\frac{89}{140}{P}_2$ among the probed targets is an image; the weighted EH, $R^2$ and ${\mathrm{Ric}}^2$ Euler tensors are not (Proposition prop:to-match).

These do not claim absence of derivative counterterms in a completed gravitational sector, failure for every fixed preparation, or impossibility after adding other diagrams.