Mine is a small little 850 it runs the fridge in the day for a few hours on and off (more like 3 hours all day tops) main battery in the patrol at night till about 11-12ish then I unplug till the morn, been doing it for yonks with no drama. All our light are recharge portable LED so they recharge in the day off the Genny. Father in-law came out with us one trip and it ran the 40l Engel plus his two fridges in his camper van. I cannot see why ,me personally that I would need anything bigger. I'm keen to hear what people are using their 2kva for, surely you cannot possibly be using it to the max?
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I say you buy what you need/afford if the 1kva is working for you who gives a s@it what somebody else says.