Another kind has different contractors (relays) for Shore and Generator.. I'm nto sure but I think these "Default" to inverter when no other power is present (That is the De-energized state of the contractors) When you plug in one set pulls in for SHORE power.. Fire up the generator and that set drops out and another set pulls in for GENERATOR.. Shut down and it drops back to INVERTER.
On this type be you on shore or Generator one set of relays is always energized.. and thus, a coil can burn out and dump you. Or a "Control" part.
John, this is the type I have and I'm sure you're correct in that when the shore power relay quit on me and the generator wasn't running (I've never set up the auto start feature), the unit defaulted to the inverter which in turn drained my batteries over time.
Ron