If you grasp one rule/formula about electricity:
Watts = Volts * Amps
it explains a lot - and why I think there is often surprise about how long (or short) a battery bank will last in an RV between charges...
If you want to power 1000 watt appliance on 110AC it takes just 9.09amps... (adjusting above formula to solve for Amps: Amps = Watts/Volts or 1000/110)
To power the same appliance on 12v takes 83.33 amps... a whopping big difference because of the lower voltage. (1000/12)
(Ignoring the addition of the inverter which would consume some power on its own)
The more amps you try to draw from a battery all at once - the harder it is on the battery - and less life you are likely to get - both on individual charge and overall (this does vary by chemistry with some able to deliver higher amps longer - and others just not capable of going that high...)
This is why electric vehicles run on MUCH higher voltages - the more you can raise the voltage - the lower the amps - and the happier the batteries and the cooler everything stays... Cool electronics are happy electronics.