All INVERTERS have a parasitic draw when just turned on and not drawing any power. This is about the same for a 600WATT PSW INVERTER and my 1500WATT PSW Inverter. If you are not plugging anything into them they only draw a small amount of current from the battery. In my case it doesn't allow me any savings in power consumption from my battery bank.
I have the 600WATT PSW INVERTER for my home entertainment and bedside emergency drop cord receptacles coming from the 600WATT Inverter. This is left on all the time when I am camping. Even when I am at an electric site.
I also have the 1500WATT PSW INVERTER that is my backup INVERTER and I sometime plug my trailer SHORE POWER CABLE into this unit to fire up my 120VAC receptacles around the trailer. Being only rated at 1500WATTS however I have to throw most of my circuit breakers to the OFF POSITION to keep from overloading the 1500WATT PSW Inverter...
I'm sure others do it differently...
Once you establish what you can run form your batteries and know when to re-charge them the next morning during breakfast then it all becomes second nature using what you got.
I watch my DC VOLTMETER PANEL and make sure I am not dropping below the approximately 50% charge state of my battery bank during the day/night run. It if makes until 8AM the next morning and still reads around 12.0VDC then I am a happy camper. Now I can use my 2KW generator and recharge my battery bank back up to its 90% charge state and do it all over again for the next day/night off the batteries.
Roy Ken