My '13 EB with a 15k AC, the fan starts first then 10 seconds later the compressor starts.
On shore power I have tried the AC + micro, no issues with breakers. The refer,
12v converter, and water heater were also 120v powered but I can't say if they all were actually drawing power to operate collectively.
This is the first I have seen reports on the 2K genny pairs running a 15K unit. I figured 30 amps is 30 amps and cutting power to the refer and water heater would give me some amps slack to run the AC.
I have had a Yamaha 2K now for a year, it will run the water heater and the converter barely during my load testing. The TV, sat box, converter, possibly (can't remember) the refer, will run in eco mode easily.