You don't mention what motorhome you have as that might affect some answers. We typically leave our inverter on 100% of the time. This is because I hate resetting the time on my microwave which doesn't happen when the inverter is on. As stated above, the inverter converts battery power from 12v DC to 120v AC when you are not plugged into shore power. When you unplug, the inverter keeps 120v power onto certain outlets in the coach which does drain the batteries. However, when you drive the coach or run your generator, the batteries are recharged. If you are trying to conserve fuel while boondocking, you can shut off the inverter, rather than recharging with the genny, or you can leave it on as a convenience, but keep an eye on the battery level and run the genny when it gets low. You should develop a system to best use the various resources you have available as you see fit. It is no different for your genny, your fuel, your fresh water, your batteries, you gray and black tank capacity, etc. Living in a motorhome with many options is a learning experience and you should get better at it as you use it. There is no standard answer to your question such as "YES" to turning off your inverter.