Keeping the residual record changes the access task

This example does not contradict the record-only obstruction: the assisted decoder also receives the quantum register $R$.

The terminal readout is an added instruction with an added access permission. It is not an endpoint implied by autonomous dynamics. Partial trace is operational forgetting, not proved physical annihilation. Termination does not prove an explosion, an energy release, permanent absence of remnants, or the absence of future dynamics. Earlier records left untouched by the terminal operation are not retroactively erased.