I made a couple measurements last night which may [not] be useful to anyone else:
1. My converter pulls about 200W when charging a battery depleted to about half. This might be the maximum draw, I have not heard it any louder. Power draw slowly drops as the batteries fill.
2. My Dometic 13.5K air conditioner pulls about 1100W early on (after the initial inrush of course), then climbs steadily until it stabilizes at 1330W.
Guy across the street from me has the same A/C on a different brand, and we tried running it off his Smarter Tools 2000W (1600W sustained) inverter generator. Worked for about a minute, then tripped the overload breaker. I have not tried ours on our 2000W (1700W) Champion generator yet, but maybe I will just to see what happens. I don't know for sure the guy across the street has a 13.5K -- it's externally identical to ours, but internally his uses wall-mount controls where mine is ceiling mount. Maybe his is 15K, and that would explain why it tripped the generator. It's also possible his batteries were depleted and therefore the converter was pushing the generator over the edge.
2016 X213 ⇝ Eq10K ⇝ 2014 EcoBeast