I think alot of it has to do with the motor and stored kinetic energy, and HP available.
Ideally, a generator head should be matched to an engine that can drive the generator head at it's full overload rating, with -0- hit on the engine... But that's not the case. Builders today put an engine on a genny head that is just barely able to make rated power, and really takes an rpm hit on the overload rating.
Some years back I was over at a buddies farm doing some cleanup mowing on some fields he let go. He was trying to sell the place and needed to do some fence work and mow down the weeds. He had a small ford tractor that was basically just a big lawnmower. He had an 8KW pto generator.
I was mowing with my old ford 5000 and afterwards, we drove around to do some fencing. he had a pancake compressor and an air nailer and a stick welder all strapped to a palate on a carryall that his pto generator was hooked to. The pancake compressor would kick on as needed as we nailed. circular saw didn't seem to do much either. Come to a point and we need to do some gate welding, and that tractor just would not carry that generator while I was striking an arc. We pull my 5000 over and hook it up, and I could strike and weld to my hearts content. engine sound didn't even change striking an arc.
What was the difference? about 50 horse power...
The kinetic rotation mass of the larger tractors engine and pto drivetrain dwarfed the smaller tractors setup. When a big electrical load was applied to the genny, it applied a large kinetic load to the tractor. The tractor / engine didn't have enough mass to push thru, and the governor had to kick in and build the rpms back up. vs having so much flywheel power built up in the form of big rotating parts, that the kinetic load from the genny was absorbed before the governor had to do very much.
Now.. using a 70 hp tractor on a 8kw generator is total overkill and not needed... but.. it illustrates the point well. an old tired 20 hp tractor had a hard time with 8kw.. and old tired 70 hp tractor that weighed 4x as muchg didn't.
I've seen some small generators these days that are basically using weed eater engines. what kinetic reserve do these engines the size of a grapefruit have? ( none )