Hey flboy,
I haven't been over here for a while, but man you've been busy! I'm gonna have to go back and re-read a lot of this. Couple quick questions;
What is your observed voltage in Eco?
Have you tried leaving fan on while compressor is off in Eco, then letting comp cycle? Voltage with fan only in Eco?
The fan left on may put the inverter closer to the ramp up amperage soon enough. If possible get a tach reading at Eco and Eco off. What happens when you start another hi amp load (drill, saw) in Eco? Normal or a delayed or labored start?
Just for a control, you may want to try the 5500 again. It's possible there is a performance issue with the Honda.
Whats the model # of the Frigidaire? Does it have the thermistor to signal relay for comp? I may be able to get schematic or tech sheet for you. I'd be happy to try it.
McDave