12 volt power efficiency.....
What you have to remember is that to recharge any flat or low battery you have to replace the same quantity of power taken out. For example , if you have a battery capable of supplying 100 amps/hour and you flatten it. you have to replace the same amount used. Say you run an appliance that draws 20a/h. then the battery would be flat in 4 hours. To recharge using a battery charger supplying say 5a/h would take 20 hrs. If you used an inverter on your main battery to drive your charger, how long do you think your main battery would last? 20h? I think not. I run dual batteries in my defender and on occasions I have forgotten to turn off my fridge at night. So the aux battery is rather low the next morning. However after a few kms the battery charge has been replenished from the alternator no problems. Jim