I have a 2013 Sunseeker 2300. I have experienced problem with cold generator handling dometic frig, inverter and A/C when it cuts on, particularly at elevations above 5000 feet. Generally after it runs for a few minutes, handles load okay. BIGGEST problem with MH generators is running them enough that the carb don't clog up. Mine is running good now, but went through 3 days of boondocking with 24/7 running A/Cs, microwaves, coffee pots, etc - not all at the same time. Think that cleaned up the carb.
MH genny has worst of all worlds - ethanol in gasoline and usually low usage. Keep in mind that unit from factory may sit on lot for several months and you may have a problem before it's driven out of the lot.