Thanks for the link Wayne. The current plots tell the story. The current pulse time for the Onan is almost twice as long as the Honda. That means the cap bank voltage drops a lot lower when powered by the Onan. Low cap bank voltage means converter goes out of regulation.
Still, even with the Honda, I'm not sure if we get 60A out of the PD, and for how long. Converter power must be transferred during the slim current pulse. We got about a 3 ms pulse. If the PD is supplying 60A at 14.0V then output power is 840W and 840W/.8 = 1050W on the input (ac) side. The average ac pulse current needed to supply 1050W is about:
I = (T/t_pulse) * P_ac / V_ac
I = 8ms/3ms * 1050W/150V = 19A
The Honda is rated for 13A max.
Edit:
The Honda is rated for 13Arms, or 18.4Apk.
The calculated 19A average could have a peak current 50% higher, or about 28Apk.
Do you have any idea what the current scaling is?

Onan

Honda EU2000i
Wayne, did you use a Tek current probe?
Sal