On the 2200i, my experience is it is a significant improvement over the 2000i.
1) the engine is now 125cc vs 98cc on the 2000i
2) rated output is up by 200W
3) I have the service manual for the 2200i. typical output voltage curve shows a no load output voltage of 126VRMS and a full load rated output voltage of 120V RMS.
My experience with the 2000 with the micro air at 4500ft and 95F is it would easily start my Coleman MachIII AC but would trip the micro air overload after running 10 minutes or so, then restart the AC after 5 minutes and repeat.
With the 2200i at the same altitude and temp, not only would the honda run the AC easily for hours on end, but also run the fridge on AC (an additional 300W load)
And it has a run dry mode on the fuel switch.
Add to this my brother with a micro air tried his honda 2200i with his AC unit at 7000ft. Once everything else was turned off, the honda was running the AC unit pretty much continously. He did need to turn off eco mode to keep it from overloading, and on occasion on first turning on the AC would run for 5 minutes or so, turn off the AC then restart after 5 minutes then continue to run the AC for a few hours as needed.
the micro air has it's own overload protection for the AC unit monitoring the AC motor rpm and when it detects to much of an rpm drop along with a few other measurments turns off the AC for 5 minutes then restarts.
The nice feature is that if one has the AC on and accidentally turns on something like the microwave, the micro air drops out the AC unit before the generator overloads, lets the microwave or other load run then after 5 minutes will try to restart the AC.
