Proposition: Completion obstruction inside the selected formal/ χ -plateau image

Under Gate V: the formal and $\chi$-plateau variational images have ${\mathrm{SA}}_D=0$ for $D\ge 1$ (Theorem thm:M4). The double-plateau Euler tensors of $\int {R_{\mathrm{lin}}}^2$ and $\int {\mathrm{Ric}}_{\mathrm{lin}}^2$ have total degree $D=4$, hence cannot lie in those images. Therefore the plateau matchings do not complete inside the already-stated selected formal/$\chi$-plateau image. Any enlarged ansatz (retained switch/preparation derivatives, or additional diagrams) is a new domain, not a completion established by M.4.