OK, I sort of got the Remote control working. Here's my take on the wall plate:
Once you have the Remote Control (GE45601) programmed, you can send this programming to the wall plate (GE ZW5301/45631).
Do this operation with the devices close to each other.
1) Put the wall plate into receive mode:
1a) Press and hold [ADD] and [REMOVE] until the orange light blinks
1b) Sequentially, press [DownArrow] of the 1 (top, left), then 2, then 3, then 4. The orange light will begin to blink
2) Put the Remote Control into send mode
2a) Press and hold [SETUP] until "LGHT SETUP" appears in the display
2b) Press the [-->] button five times until "TRANSFER" appears in the display.
2c) Press [OK] and "PRIMARY" will appear
2d) Press [-->] and "SECONDARY" will appear
2e) Press [OK] and "ALL" will appear
2f) Press [OK] once more to send the data.
In the display of the Remote Control, "SENDING" will appear, at the same time, the orange light on the Wall Plate will continue to blink.
Shortly, the display of the Remote Control, "SUCESS" will appear, briefly, at the same time, the orange light on the Wall Plate will blink green twice. This indicates success. I assume that anything other than this sequence indicates failure.
Of course, every time you change the Remote Control, you have to do this.
Unexplained Features
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When turning on from the Wall Plate, it will take a significant number of seconds for the command to be executed.
On the Wall Plate, be sure to press [SCENE] before pressing one of the buttons.