MIsCORE-RIUD: Paper VII: Residual Classification, Minimum Common Support, and the Observation Boundary

Gravitational-wave detection pipelines are highly successful at identifying modeled and coherent signals, but the evidential meaning of post-model structure is a different question. This paper does not dispute established LIGO detections, nor does it claim that LIGO formally labels every residual sample as noise. It asks a narrower methodological question that became unavoidable during MIsCORE-RIUD: when H1 and L1 do not express the same merger-local residual structure in an identical lower-order form, does failure of a stronger representation-level consistency criterion justify rejecting the remaining structure before its higher-order organization is tested? RIUD answered operationally by requiring minimum concurrent support rather than global detector identity. A local candidate could not be carried by one detector alone: h1_z=min(H1 family), l1_z=min(L1 family), and network_z=min(h1_z,l1_z). Only candidates surviving both detector support conditions could enter the frozen NODE set, and only connected multiscale NODE organization could be promoted to PATH. Paper VII retrospectively audits that rule rather than inventing a new one. Four frozen evidence layers are decisive. First, Paper II gives 13/13 detector-resolved map compatibility and a fixed-path raw-strain population statistic of 1.171221 with 0/100,000 empirical-null exceedances, while a stricter eventwise coherence contract yields 0/13 FDR05 survivors. Second, a 96-event, 57,696-row detector-representation audit is directionally non-equivalent: median out-of-fold gain is -0.2044 for H1->L1 and +0.6496645697 for L1->H1; the final 9,999 whole-event null gives 0/9,999 exceedances (plus-one p=0.0001). Third, the NODE-conditioned median log10(L1/H1) high-band balance reverses from +0.4373 at 10 ms to -0.7916 at 80 ms. Fourth, controlled relational replay is invariant to detector swap, constant gain, and constant phase rotation, but sensitive to relative timing and time-varying phase; lower-order NODE occupancy can change while the higher-order PATH persists. The resulting claim is bounded but consequential: failure of global representational identity is not, by itself, evidence that the residual structure is noise. Under the tested RIUD contracts, concurrent local support followed by higher-order structural survival is a defensible promotion rule. Paper VII therefore closes a specific methodological vulnerability in the earlier RIUD lineage: the cross-detector rule was not an ad hoc relaxation introduced to rescue a result, but a frozen minimum-support contract later tested against the observation system itself.