That would depend on what type of inverter you have. Some inverters called 'inverter chargers' have the battery charger built-in Others do not. If not you'll likely have a charger built into your coach that will be passively charging in the background.
I just looked at it and the 458 is an inverter with a built in 3 stage charger so I believe the inverter does not have to be on for the charger to operate.
If I'm incorrect please correct me,
Joseph
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1976 Newell Classic (Sold)
Home Base: Riverside, CA
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