I don't have your Inverter/Charger setup but my guess would be no. I only know that my thermostat started my generator for AC without turning on the AGS (as I recall). I only tested mine once. As I stated earlier, I've never had the AGS start the generator because of low battery voltage and most likely won't at this point (not really necessary).
If you're testing/verifying AGS functionality, my suggestion would be to turn on the Xantex "AGS" and the thermostat "AGS" in an attempt to test an auto start based upon AC demand. If that works, then try the same test but with the Xantrex "AGS" turned off. If it still auto starts, then you don't need both.
Bob Bowers (Surprise, AZ)
2003 Alpine Coach 40' FDTS
2014 Jeep Cherokee Lattitude