To clarify, somewhat...
My observations in the past with a 120/240 generator rated for 8000 watts, (whatever the manufacturer meant by that rating...)
with a pair of roof airs as the load, the voltage was pulled down to 100v when running on one leg.
The voltage ran much closer to the 120v with each roof air re-assigned to its own pole of the 240/120.
As I was only focused on the situation of the day (make inverter happy, not happy at 100v) and not the grander theatre of the academic possibilities, I did no further testing, and it pre-dated my infra red thermometer.
Since heat is the enemy for long term health of electric stuff like generator heads, I was wondering if, for a given load, whether there might be some slightly cooler running opportunites for wiring straight 120 instead of the imbalance of a 120/240 set-up?
All the windings sharing instead of only half of them working?
happy coaching!
buswarrior