road-runner wrote:
This is a weird situation and I doubt that there will be much if any actual experience to draw from. Only best guesses. The GFI senses only downstream faults, so I don't see how doing anything at the generator or transfer switch would fix the problem. The power out of the generator isn't as clean as shore power, which could explain why you never see the trip on shore power. When there are weird GFI trips I'm usually about the last person to say "replace the GFI", but in this case I don't think that's a bad thing to try. Another obvious isolation step is to disconnect the downstream outlets from the GFI. Tough call, in my estimation, which to try first.
X2
Disconnecting the downstream receptacles or at least inspecting them is a good idea. Maybe there’s a loose ground wire in one of them and the vibration from the generator is enough to cause it to bump the neutral.