Matter-action equivalence does not determine the complete gravitational dynamics. The source separately requires sufficiently general admissible metric variations, universal matter coupling, and a consistent continuum solution before claiming full physical equivalence.

Conservation also constrains the isolated branch. An Einstein-form cosmological coefficient cannot be varied freely while preserving a separately conserved dust source without supplying the corresponding additional dynamics. A local action comparison does not settle cosmological evolution by itself.

The result provides a specific completed equivalence inside a wider unfinished program. It is more precise than declaring that every MQ field equation has already been derived. The October 23 date identifies the recorded manuscript version; it supplies no invented historical publication day for the manuscript or for the individual proof.