I can't speak for Yamaha (though my dad has a small Yammi outboard motor that runs like a champ, so I suspect their generators are of similar quality) but I do have a Honda EU2000i generator and I can tell you it's top-notch. I've had it for a number of years now and have never had a problem with it. Super quiet (makes less noise than a vacuum cleaner), easy starting, sips gas (runs for 12 hours on a tank in economy mode). I have nothing bad to say about it other than the price (but you generally get what you pay for), and can't say enough good about it. If I had it to do over and I had the money, I'd get the 3000 watt version -- which you would likely want if you're planning on running an electric heater --the 2000 isn't enough to power the microwave or air conditioner in my camper (though I mostly use it in hunting camp, so no AC necessary). During our power outage in early September it powered my 2 refrigerators and a few lights with no problems and only kicked up to high throttle briefly when the fridge motors would turn on. If you use it for rustic camping it can run all night and not disturb your sleep (or your neighbors, unless they're ultra sensitive to any noise of any kind). Well worth the extra money, in my opinion.
I mail ordered mine from some place in Illinois, I think, that was the cheapest price I'd seen anywhere. Unfortunately, I don't remember the name. Seems to me they're usually around $1k and I think I paid something like $875.