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The assumption is stronger than equality of mean energy. Scalar macroscopic source operators do not prevent a separate internal-state probe from learning $x$. Consequently the assumption includes an instrument-level leakage audit, not only a stress-energy expectation test. The exterior source models and packet-effect probes in Em03-D/F/G are useful examples of why an outgoing, message-dependent field signal need not be information escaping from a black-hole interior CheungEm03D,CheungEm03F,CheungEm03G. Stimulated-emission and ordinary-scattering contributions also require separate treatment Wald1976.

The equal-energy code is an explicitly idealized physical interface. This paper does not claim that a suitable astrophysical injection apparatus has been constructed.