It would seem from a layman's standpoint, that any transmission, or leakage through out the circuit greater than 5 mA between the neutral and hot will cause the GFI to trip. This is the UL standard. This could be from a real problem or an induced problem as in radio transmission.
Ground Fault Interrupter
Talking about RF transmission, while in the Navy many years ago, a friend of mine said, see that guy carrying a box of florescent lights, he said watch this, and he triggered off the radar on the P2V, and caused the florescent bulbs to light. He said RF energy. We also had a guy claiming the radar made him sterile. He was serious, but could never prove it. Another situation, just about out of 10 times a P3V passes over my house, the wireless doorbell rings. Every time I hear the doorbell, I listen for the P3V and I can recognize the sound of the engines. Apparently there is some transmission from the P3 that is on the same frequency or is a side band of the transmission. So if I hear the doorbell and the P3, I don't bother going to the door. I have heard this thousands of times before, because I have lived here for about 35 years, and I flew in the P3's for about 15 years.