In Eco mode there is a noticeable lag while the engine speed increases. With a high load the generator “may” not be able to handle all that current and “may” kick off the over current protection circuit breaker. It won’t hurt anything, there will be a big sag in the voltage that you can see on your surge protector panel. If the air conditioning picks up and runs properly, don’t worry about it, if it doesn’t work right, switch off Eco when running that high load.
One thing to understand when you shut down a Honda with that big rotary switch. It kills the spark and also the fuel supply at the same time. When you have the engine turning full rpm, somewhere around 3600 rpm I think, it stays spinning for quite a few revolutions. This sucks raw unburned gas from the carb into the cylinder. This tends to flood the spark plug and it also washes away oil from the cylinder walls. Not especially good.....
If you put it in Eco before shutting down, the engine rpm is lower and the amount of inhaled gas is reduced.
My Yamaha 2400 has a separate fuel shutoff, which I really like, since I can turn off that gas valve and let it run until it dies, draining the carb (mostly), and then turn off the ignition. It starts way easier the next time than my EU1000i ever did, usually with a single pull. The Honda rarely did that.
So with any Honda, remember to unplug the cord, switch to Eco, let it idle for a minute to cool down, then turn it off.....
And BTW, the Yamaha has an Eco mode but no switch to turn it on or off. I kinda wish there was one.
John Davies
Spokane WA