Selected thermal data do not determine recovery

A comparable selected-entropy separation is documented in the Cheung note Oai265-A CheungOai265A. Its use here neither assumes nor verifies the external catalogue family discussed by that note.

Thermal occupations do not by themselves prove that information is destroyed, that the whole accessible channel is a replacement, or that the complement is constant. A classical record is not an unknown quantum state returned with its reference correlations. No gravitational Page curve is obtained from the record channel, from one entropy value, or from the examples above Hawking1975,Page1993.