This is my first post and what I know about RV's, air-conditioners, amps, watts etc. is EXTREMELY LIMITED. I have never even owned an RV before but I am getting ready to buy a Rockwood A124 and have been researching the same thing you are asking about. First of all I think that your wattages MAY be a little off but then again I might be wrong. I'm guessing the actual wattage for a Cool Cat 10,000 BTU unit is most likely around 700 to 1,000 watts depending on set fan speed... MAYBE 1,400 to 2,000 watts when the compressor initially kicks in. There evidently are other factors involved in start up current requirements such as outdoor temperature, A/C head pressure (whatever that is) and altitude (for the generator). I could not find the manual or specs for the Dometic Cool Cat unit so this is all basically theory. If someone has a manual or the specs for this unit, please feel free to chime in. The hard start capacitor can only help but maybe not as much as some are claiming. After more Internet digging than I care to admit, I came across an article which I know that you will be very interested in. It does a comparison between the Supco Capacitor ($20) and the Dometic Smart Start device ($400) and gives a detailed breakdown of current requirements for compressor start up. I am wondering if it is possible to run the Cool Cat 10,000 BTU equipped with a Smart Start device off of a 1,000 watt Honda or Yamaha generator. If the Cool Cat would run off of 1,000 watt generator, the generator would be running at 75% to 100% of capacity (depending on how many watts it's using) which means it would be screaming. I am certain that a 2,000 watt generator would run the unit with a whole lot less work than the 1,000 watt unit and without the Smart Start device. Please look at this link
which is testing done by the Dometic Marine Division and compares a 16,500 BTU unit using the Supco Capacitor and then the Smart Start device. Too bad the smart start device isn't a whole lot cheaper.
Now the obvious question here is why buy a $850 1,000 watt Honda/Yamaha generator and a Smart Start device which would total up to about $1,250 when you could just buy the 2,000 watt Honda/Yamaha generator for $1,000 and be done with it? Well the 2,000 watt generator will be running at about 45% of rated capacity and probably be quiter than a 1,000 watt unit running at 75% -100% capacity. There's also a possibility that since the 1,000 watt unit is running near maximum that it might use more fuel than the 2,000 watt unit that is just loafing along. Of course the 1,000 watt unit is smaller and lighter than a 2,000 watt unit and this is why I started looking at this merry-go-round in the first place.
Again all this is theory and guessing. Remember about the only thing I'm an expert in, is getting old and fat so take everything I just said with a grain of salt.
I cannot wait to get my A124!!!