[PAR_WIG1350]

It should work, but keep in mind each battery will only last for a limited number of charge/discharge cycles. Don't do anything you will regret next year, but if it is necessary, I wouldn't hesitate to do it. Just prioritize electricity usage, don't leave the inverters plugged in when not in use, and don't over-discharge the batteries.

Also, the number of amp-hours the battery will put out depends on battery condition, state of charge, discharge rate , and temperature. On top of this, efficiency is lost in the conversion from DC to AC and then for AC to DC, so it would be even more inefficient than a single conversion would be.