Hi, Boater. Go with the "2000 watt" unit.
I agree with the other comments- you're going to happier running a "2Kw" generator. Look at the documentation more carefully- those ratings are maximum output, the major brands of "2Kw generators (Honda, Yamaha, etc.) have continuous ratings around 1600 watts. And that's full power load-
So really, one of those "2Kw"' generators is right at the sweet spot for your AC unit. You'll be running slightly under 1/2 load, which makes it MUCH less noisy, and helps it last MUCH longer. BTW, the requirement for much more power on start-up and restart can be reduced by adding a big start-up capacitor to the circuit, and you should definitely do that if your unit was built for a grid-connected house (rather than an RV).
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TM='06 2619 w/5K axle, 15" Maxxis "E" tires. Plumbing protector. 630 watts solar. 450AH LiFePO4 batteries, 3500 watt inverter. CR-1110 E-F/S fridge (compressor).
TV = 2007 4runner sport, with a 36 volt "power boost".
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