Spectator blindness and a classical–quantum lift

For completeness, let $\mathsf{G}$ be a finite set of all admitted coded labels and retained histories, with invalid strings assigned a fixed no-action convention. If $F$ is the complete deterministic classical successor, its hybrid channel is

Its full-matrix lift has Kraus operators

Their squared moduli sum to the identity, proving complete positivity and trace preservation. The lift discards off-diagonal input label blocks; it is a declared classical interface, not a quantum superposition of geometries.