Without question per lbs of fuel consumed fewer kWh are generated when loads are imbalanced. The 6-8% loss of economy is enough to have encouraged me to install a Scott Connection 3-phase to single phase transformer setup on my genset and to use a toroid wound transformer to obtain balanced single phase 120vac from the Scott connection transformers. A twenty gallon day-tank with markers does not lie. Nor does a 3-phase General Electric kWh.
The issue is for small systems is all this (for single phase) worth it?
Within 10% of a balanced load as determined by individual kWh measurement of a 240 single phase system I would have to say "no". I excess of a 30% difference the balancing is worthwhile only if the system is large enough to make the single digit percent economy gain worthwhile.
A single phase generator winding running at 70/30 imbalance makes the whole generator operate at a higher temperature. This is fact not conjecture.
Crunching numbers will reveal any relevancy to pocketbook impact.