Both of my Monaco’s had GFI circuit breakers in the inverter 120V panel next to the main 120V panel. Only TFI outlet is the block heater outlet in the engine area.
Just because your inverter/charger is charging does not mean the 120V circuit breakers on it are not tripped.
This post is my opinion, worth what you paid for it.
Our ”New” ride...08 HR Navigator 45’. A nice upgrade after 14 years with a 04 Dynasty 42’.