Somewhere you guys have confused the fact that you are comparing a 2000i Honda to a 4000 Champion. Apple to Apples would be the 2000i Champion (73531i)...but this discussion was never about inverter vs. non-inverter. I 100% agree that an inverter generator is the way to go. Since this discussion was started about a 4K Champion, you'd need to compare it to a similar model Honda...again, both putting out dirty power, both louder than an inverter, the only difference is the 10X cost difference for the Honda.
Also, I'd be quite upset camping next to any of you that feel the need to run your generator all day (even if it is an inverter). IMO, the generator should be ran as minimally as possible...you are CAMPING, right??? Since when did the generator become part of the essential camping gear list?