Not sure if Wayne tested the PD from shore power. The waveform would look similar to the 1000W Honda; sinusoidal with a flat top.
The PD brings the 3600W Onan down to its knees. It can't handle the very high current burst. The PD has a design flaw. Say you have a 800W PD. The converter pulls no ac current from the line until the sinusoidal waveform is near the top if its peak. Then, all of a sudden it wants all 800W! That means over 30A are demanded from a power plant that's not capable of providing that much current. See the current plot that looks like a lot of middle fingers? That's why you see the flat top, the power source can't provide that much current and the voltage can't rise. As a result of the flat top, the PD input peak charge capacitor doesn't get enough voltage. Hence the PD never goes into current limit (max current) during boost.
The Onan shouldn't have such a large flat top as we see here. Something gets scrambled and it goes berserk.