Personally, I wouldn't run an AC in ECO-THROTTLE Mode. Kind of like I drive, easy on the equipment.
From the manual:
"With the switch in the ON position, engine speed is automatically
lowered when loads are reduced, turned off, or disconnected. When
appliances are turned on or reconnected, the engine returns to the
proper speed to power the electrical load. In the OFF position, the
Eco-Throttle system does not operate.
Appliances with large start-up power demands may not allow the
engine to reach normal operating rpm when they are connected to the
generator. Turn the Eco-Throttle switch to the OFF position and
connect the appliance to the generator. If the engine still will not reach
normal operating speed, check that the appliance does not exceed the
rated load capacity of the generator."
http://cdn.powerequipment.honda.com/pe/pdf/manuals/00X31Z076300.pdf
Guy