The pilot signal is definitely generated by the main circuit board within the EVSE, as shown by the purple wire in the schematic diagram. From what I see in the documentation, the max current setting is changed with the pushbutton/LCD user interface and is not controllable by attachment of a different pigtail.
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The Roadster Foundry mobile charge cable made by Martin Eberhard did control the max current depending upon which of several pigtails with different plugs was connected. (Tesla's charge cables with multiple pigtails, which came later, also do this.) The way this was indicated was through the neutral pin in the connector where the pigtail hooked to the box.