Yes, it has a 100 amp charging system but you run 3kW inverter at its rated output and the voltage will drop as the alternators running at maximum output cause the rectifier bridge to heat up which drops output voltage. Then the regulator heats and the temperature compensation also drops voltage to prevent cooking the batteries.
Even at a steady 70 amp draw, the alternators in my 1031 drop to about 25.5 volts combined which is barely keeping the charge. It causes noticeable dimming of the headlights.
I have a MEP 026C, a 107 amp 28 volt generator. I hooked this up to the inverter, using the CUCVs batteries to smooth things out. It easily swung the load, keeping voltage at 28.5.