The principal is sound, AC/DC/AC conversion is really the only way to clean up a sine wave if it is unstable from the source generation/distribution.
Cycles in north America @60hz, and via monitoring being done currently only really strays a few hundredths above or below, in a sort of drifting manner.
Other places not so lucky, with cycles all over the chart and with a rapid rate of change.
So, not to address the particular brand, the batteries are simply a buffer between the utility and their inverter, which should be pure sine wave and very high quality.
Also, the Ampacity of the unit is important, an inverter will clip, just like an amplifier if over driven/drawn.
Power companies use there themselves by the way, when areas/branch circuits get too much reactive to restistive loading, throwing the phase angle out of whack.
Much bigger units, and some use flywheels to "store/buffer" the energy.