Honda & Yamaha are high quality but when you hear people talking about 10-15yr old generators, keep in mind, at that point, they were the only game in town for small inverter generators...so it's not really comparable to say the newer brands don't have comparable comments about old generators still kicking around.
We have a Yamaha 2400. It does run the air/con but it struggles at times. I would want 2800-3000w unit at a minimum if we were buying again.
You can buy a pair of 2000w units and hook them together to get 4000w. That's easier for moving around but you pay higher overall price for 2 units and more ongoing maintenance.
While Honda/Yamaha are good, the newer brands are often 30-50% lower price and most have good reviews, so when we replace the Yahama, it will likely be a champion or other 2nd tier brand.
