In looking at the owners manual for this generator, it looks like it contains only diodes and no inverter circuitry. Therefore, the output is most likely a square wave or modified square wave, as opposed to the true sine wave output of RV-type generators (e.g., Honda EU2000i, Yamaha, etc.). Also, there appears to be no circuitry to accurately control the AC (alternating current) voltage or frequency (120 VAC, 60 Hz).
I suspect that this generator is designed to run incandescent lights and power tools; and it may not be suited to power electronic devices (e.g., a converter, inverter, television, etc.), nor an air conditioner. It is highly possible that using it for this purpose may damage those devices.
I suggest you have someone local who is familiar with this generator determine if it is appropriate for RV applications. And, I'd do this before you possibly damage your Airstream appliances.