OK, here's the answer, taken from an exhaustive company-prepared history of signaling in the GCD/GCS/GCT area:
"RIGHT HAND RUNNING
In September 1906, after many years of left-hand running to Spuyten Duyvil, block station 8, traffic was turned from the left to right hand movement, at a temporary mechanical interlocking plant located at the Walton Avenue bridge, just beyong "MJ", West Mott Haven electro-pneumatic plant.
"REVERSAL OF TRAFFIC
At 4 A.M., Sunday, August 25th, 1907, traffic was diverted from the left-hand running tracks to the right-hand running tracks from Grand Central Station to Walton Avenue just beyond "MJ" West Mott Haven interlocking and Mount Vernon...."
There's more, lots more, but that's the essence.
As best I can tell from the same source, the famous flying switch operation fully ended January 15, 1907. Already the switch and signaling layout had been modified because of encroaching GCT construction on the terminal's east side.
Herb