FWIW, my MIdeal 8000BTU is working on an TINY ad-hoc system that most folks here would say shouldn't or wouldn't work (including myself): a 1000W BESTEC PSW inverter running off a single 12V EverStart deep cycle WallyWorld cheapo battery. Of course, this probably wouldn't run for hours on end. But, the AC DID start and it DOES run.
The power draw is hard to determine the Kill-A-Watt is reading much higher than the BESTEC inverter's output current (see photo). Either way, the power draw is low.
My problem with the power factor at only about .7 is that even at these modest energy consumption numbers, much energy is being wasted on the reactive load of the AC. Now, if it's just plugged into the grid, it may not be a concern. But when you're planning on operating this out in the boondocks off grid with finite battery storage and solar panels, you don't want to have to burn that energy on loads that do no useful work. I really need a much more efficient designed AC with a power factor closer to 90, if that's doable in these designs.