4/0 wire at 6 ft is crazy IMO. I saw that table from Xantrex. They appear to want too small a voltage drop.
I have a 2000w PSW inverter that runs the microwave pulling about 125 amps DC. Have seen 150 amps with the previous bigger MW. My usual set-up is about 5 ft of #1AWG cu each for pos and neg to about 400AH of battery. I see about a 0.8v drop with those amps.
That means I can run the MW when batts are 12.1v (50% SOC) and voltage at the inverter is 11.3v, above the 11.0v alarm. It will stay above 11.0 for a short MW run. More importantly, it stays well above for running the toaster in the morning which pulls fewer amps.
If you only have two batteries instead of four, IMO fatter wire won't help much to stay above 11.0v. That would be like me at 50% SOC already with your batteries full.