Remark: Endpoint distinction is essential

For $m_{\ast }>0$, $L$ is an information-bearing remnant model. For $m_{\ast }=0$, it postulates a degenerate zero-energy inaccessible memory, rather than a unique vacuum. If such memory is forbidden and all outputs are accessible, the retaining process is excluded by Proposition prop:endpointtest. The counterexample does not assert different recoverability under identical complete-evaporation and complete-access assumptions.