Les,
I am not an electronics engineer or electrician. So take this with a grain of salt, or two.
My understanding is that a GFCI is designed to measure very small, even tiny, electrical changes. If detected it shuts the circuit down in microseconds. At first, they were only used in bathrooms where you might be hanging on to the water spigot and blow drying your hair with a faulty hair dryer. That made a little sense.
As the primary feed to an entire motorhome, it may not make sense.
By their very nature, our generators, transfer switches and inverters make "spikes", or small electrical changes, as they switch from one to the other. Today, the relay in the transfer switch might have some dust on it and make a spike tripping the GFCI. Tomorrow, it might not make a spike and the GFCI will be fine.
Standard RV power poles don't have GFCIs on their 30 and 50 amp circuits. Everything runs well and safely when we plug into the hookups at our campsites. Maybe our motorhomes were not made to require or expect a GFCI circuit as a primary power supply. It may be that using a GFCI circuit to supply power to a motorhome is going to be troublesome.
My understanding is that it takes some fancy equipment to measure and record the momentary spikes that can trip a GFCI. A simple $5 circuit tester with lights that glow "OK" is enough to determine that the hot, neutral and ground wires are properly connected.
Good luck. At least when water leaks you can see the drip. Amp and volts are harder!