It doesn't have anything to do with where the inverter is connected. It's just another 12-volt load. Whether the controller output, inverter and 12-volt distribution (alternator and converter for that matter) are connected directly to the batteries or to a bus matters not. They are all in parallel. The nature of the solar output is that it will attempt to satisfy the load before the battery will. This is because the controller voltage is higher than battery voltage.
When you get your meter installed and with the Trimetric can see panel output, controller output, amps in/out of batteries and load demand, it will all be obvious.
