No, that's different. Your house 30 amp will provide continuous power. The inverter/generator motor will stall if the AC compressor kicks on because the wattage will be over what the generator can provide. Most 15K AC units have a peak wattage of the around 3500 watts to start the compressor, and about 1800 watts to run. With the soft start unit, or a hard start capacitor, the wattage is greatly reduced to around 2000-2200 watts to start the compressor. Most inverter/generators have a running wattage and a peak wattage, for instance, a 2000 watt inverter/ generator has a peak of 2200 watts. This means for "momentary" power loaf increase to 2200 watts, the inverter/generator will continue to run, without stalling out.
You will also notice I keep referring to an inverter/generator and not just a generator. This is because an inverter/generator provides a full sine wave rather than a modified sine wave. Most new RVs contain more sensitive electronics than older ones. You said you have a 2020 coach, so it probably has LED lights and the like. Those electronics are more sensitive to modified sine wave properties.
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