BTUs are the important stat for air conditioners. A normal rv a/c is 13500 BTU or 15000 BTU. Yes power draw is important but not providing enough cooling power is more so. I looked at the jump starter page and saw NO mention of BTU capacity of the unit, rather suspicious if you ask me. Maybe I overlooked it. Look at a/c units on Amazon that is always mentioned at the top of any description.
I suggest that you look at the Champion 3500/4000 DIGITAL inverter gen, about $600 and probably doesn't weigh much more than that Honda 2K. We have one, it's quiet, starts on the first pull and cheap compared to Honda/Yamaha.