Yeah I guess that's what it comes down to. If you consider it as X or Y.Do you consider its supply to be a branch circuit or a feeder?
If it's a branch circuit, no electrodes are required, but are permissible.
If it's a feeder, an electrode system is required.
In neither case is the supply's bare wire a GEC; it's only an EGC.
Its interesting, if you consider it as a feeder and a GES is required at the remote structure, its falls in to this part of my post #1
"Suppose you are wiring a detached garage. You install a 30A "subpanel" in the garage. You send a feeder of #10/3. You land your EGC in the panel from the feeder, you run a Ground electrode bonding jumper from 2 ground rods that you drove near the detached garage to the ground bar in the panel. Can it be thought of that the ground electrodes at the garage are auxiliary ground electrodes in the eyes of the main service ground electrode system (complying with 250.54 in reference to the main service GES) and the actual ground electrodes of the ground electrode system of the garage (complying with 250.50 in reference to the garage)?"
Kind of like the remote structure is a system of auxiliary electrodes in the eyes of the main GES, but to the remote structure, the electrodes are strict GES electrodes.