Run the the Honda generator that has the 30 amp plug
Dis connect the other Honda generator
Live wires to a non running device are a bad idea
Now to specifics, no the other inverter armature is Not being energized
Because it is not connected to the a.c. Output is connected to the inverter input
Inverter generator heads make high voltage dc power that goes to the inverter electronics
The non running generator has 120v on its inverter output from the live running one
I don't have the specific details on Honda inverters, (those are a closely guarded secret), but I know enough to know that most likely there are triacs (electronic switches ) in the output lines of the inverter, those are designed to switch power going out of the inverter, not stop power coming in from the wrong direction
Yes I'm simplifying the explanation ,
Any way I think it's better to unplug the parallel kit from the running generator, the one with the 30 amp plug, and leave the non running one totality isolated
Running the one that does not have the twist lock, to power the harness and send power to the other one is doing it backwards