Deep Receive-Viability in Black-Hole Interior Continuations: A Support-Gated Residual-Corridor Admissibility Framework

Black-hole collapse can exclude ordinary structural forms without thereby implying nullity or identifying a final interior state. A companion reconfiguration-admissibility framework shows that form failure shifts the problem to candidate-class testing rather than state-space exhaustion. A corrected constraint-corridor framework then filters candidates inside a specified physical domain: unsupported gradients below the diffusive smoothing length are smoothed, unsupported anisotropy and non-equilibrium deviations are relaxed, coherent macroscopic response is overdamped, and persistent macroscopic structure requires an explicit stabilizing support channel. This paper addresses the downstream question left by those filters: which candidate continuations can receive the residual support-gated corridor state without losing deep admissibility? It introduces a corrected residual-corridor vector whose structural component measures unsupported structural persistence rather than size alone, a residual corridor-deviation rate, a required response-channel set, and a receive-viability number comparing residual corridor variation to the slowest active response channel required by a candidate. The resulting gate architecture does not prove that any particular deep core exists. It supplies necessary conditions: a deep survivor must remain physically admissible, dynamically viable, support-compatible, exterior-compatible, correlation-accounting, causally consistent, and able to respond on the residual corridor-deviation timescale. Bounded Nonclassical Accounting Regimes are introduced only as a possible nonclassical subclass of candidates satisfying the full gate chain, not as a proven endpoint or solution to the information paradox. Appendix A applies the same gate architecture to QCD-like matter as a physically motivated transitional reconfiguration family. The appendix uses literature-anchored QCD transport scales only illustratively and concludes that QCD-like matter is generically transitional, deep-material only conditionally, and BNAR-like only as a possible further branch if material gates fail while bounded nonclassical accounting remains admissible. The central conclusion is that the corrected corridor does not determine the core substance. It determines the minimum receiving capability required of any admissible deep continuation.