Guys, for what it's worth the actual re-settable circuit breaker that Phoenix installed in the generator cranking circuit in our PCs is a 120-amp breaker. You will find it installed on the back wall of the battery compartment along with the two big main fuses. Again, while inrush current to the starter is significant, it's extremely short duration. Once the starter motor is turning, current drops to a fixed stabilized value depending on battery voltage and ambient temperature for the duration of cranking. As Don implies, this is not a large engine--actual rating is 9.3HP on the new 4K models. This is essentially a lawn mower starter, and a small one at that. I've seen cranking current stabilized at 70 amps on these starters, but that was on the larger Marquis Gold 5500KW unit. The 4KW should normally be less.
Regarding Onan's requirements for starting: The current Onan Installation Manual for the new MicroLite 4000 series states the following:
"Use rated cranking current as the basis for calculating battery cable size. Rated cranking current for these gensets is 180 amperes at 0 degrees F−18 degrees C. The cables should be sized so that voltage across the cranking motor terminals will be within 1 volt of the voltage across the battery terminals."
The "rated cranking current" is NOT the actual current that will normally be employed in cranking. That is the target current to design the installation (cable size, etc) to support, just like the battery requirements are 360 Cold Cranking Amps above 32 degrees, and 450 CCA below 32 degrees. Again, the circuit breaker that Phoenix put in the cranking circuit is 120 amps, so even under the worst condition your current draw would be appreciably under that.