The coax sheild is a path connecting both buildings so a four wire feeder would be necessary.

Regardless of a four wire or three wire feeder, Ernie is correct.

If a three wire feeder is used, the sub-panel rod will be connected as if it were a service GE, and if a four wire feeder were used, the GE would connect only to the sub-panel enclosure and EGC in the feeder.

Roger