On the contrary, 2 stroke generators have exceptional governor controlled output (60 hz).Tthey generally have a carburetor with a float and bowl and a mechanical governor controlling the throttle, and the 2 strokes accelerate very fast and stable when more load is added.

The biggest problem with two stroke generators I have seen is many of them say they are to be used with 50:1 or 60:1 two stroke mix. IMHO this is not a suitable mix for a 2 stroke engine that runs under constant heavy load (generator).

Here is some inside information, the little Harbor Freight 800 watt 2 stroke gererator is a pretty descent little generator for the money, quite a few of them come back, IMO mostly due to the 50:1 recommended mix ratio, if you only use it lightly it will be fine, but put the full 800 watts on it, and even the very best of 2 stroke oils is a questionable mix at 50:1, up the mix to 32:1 and it will generally run for a long long time at full load (yes this is from personal experience).