Your 30fe has an inverter. It powers the TV's and if you have an outside kitchen, it powers the small refer as well. You would only use it on the road if not running the generator or stopped somewhere when no shore power is available. As stated above, your converter supplies charge to your house battery when on shore power or with the generator running.
Simple to remember Converter supplies 12v from 110v.
Inverter supplies 110v from 12v. Although limited. You only have a 1000 watt inverter.