the gfci isn't there to protect your tank and or your equipment, it's sole function is to save your life and if it did trip it would be for a reason.
although a back up power supply is great for power lost, if the end power in the tank is 120v you would be defeating the reason for the gfci.
which means if you have a ups feeding equipment like a DC power head or a low voltage DC return pump, you would be fine.