I have 2 x 12,000w inverters that power separate circuits. And indeed, the efficiency rises ~7% (78% -> 85%) as I load them ~40% and greater. In winter/low PV I only run 1 to keep efficiency up as I don't run as many circuits to use all the PV. Each inverter goes to it's own distribution panel but they are cross-wired so that 1 inverter can run both in either direction.
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So yes, one can have multiple inverters from the same battery powering independent circuits.... one could do 10 inverters of 2000w each and even cross-connect the circuit distribution boxes to offer manual load management adjustments but the complexity rises as it's easy to temporary pull unexpected hi power from any 1 circuit.
Take my kitchen for example.... it has 2 x 20a circuits but on either one of them there are counter top plugs and microwave and refrigerator and k-cup and toaster ovens. Depending on what my wife is doing, power can go to the max with no notice or be low most of the time - very hard to 'manually' optimize at this level.
Also, I feed my inverter power via ATSs and having 10 inverters would required at least 10 ATSs to make this automatic with grid assist.
I did the 2 x inverters because I couldn't find a single cheap 24,000w. The manual efficiency game I play of falling back to 1 inverter in winter is more of a hobby than something I'd recommend as a deliberate design. The easier route might be to add few panels to make up for efficiency losses.