I'm not sure too many limitations will come about from this generator, I have been careful to select one that is rated and designed for a much heavier task.
For the next 3-5 months, the average weekday for this generator will be starting around 8 to power lights, a heater, kettle and toaster in the caravan, being back off by 9. (Fridge and cooktop are gas)
Then It will kick back in up at the house and be used to run 1 - 3 power tools, each ranging from 55W - 1800W (Sanders, Drills, Saws, Etc.) from about 3pm to 5.30, at which point it will go back to the caravan to provide heat, light, tea/coffee, a small tv, and perhaps a laptop till about 10pm when it will go off for the night.
On a weekend it will be much the same, except the power tool work will run right throughout from the morning start up to the final shut-down, resting for lunch.
After 3-5 months, the house will be on mains, and should be liveable, so the generator will simply be used to help get the sheds up, provide power to the caravan on the odd days extra hands come down to help, and mainly, it will sit steady waiting as a backup in case of a power failure.
I am curios to find out how responsive the digital throttle control is, I know that the little 850W above is governed mechanically by load, not digitally, and it's not particularly responsive (not that it could power a welder, but if it could, it would provide the delay you describe above requiring a helper!)