I ran a small pancake air compressor on the CPE 2000 watt with econo switch on. It ramped up perfectly, started the compressor fine. 9.5 amps running. I fired up two halogen lights adding an additional 7.8 amps. Generator ran with red overload light for about 8 seconds before circuit breaker popped. So it was under the rated Max load but the light was still on. I don't think you are going to get what you are looking for bypassing circuit breaker. The Honda's will give that to you for up to 30 minutes.
To add to this, I ran a household fridge for 2 hours and it barely kicked idle starting it and no idle increase running.
I ran my high class keureg coffee machine on econo mode as well and it performed well.
Next is the microwave in the camper with battery converter charger running.
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(I need to look at this again, I think I ran 1 light, not two.)
