Not all 13,500 BTU Dometic and Coleman a/c units are created equal.
As has been said many times, it's the a/c's startup/inrush/LRA that determines whether your generator will start the compressor. One EU2000i can produce approx. 54-55 amps of inrush current with the ECO mode off. Approx. 49-51 amps of inrush current with the ECO mode on. Most OEM 13,500 BTU's (with no hard-start kit) have an LRA rating of 60-65 amps. Some EU2000i's will start these OEM units with the ECO mode off, but not reliably.
For those interested in powering an RV a/c with just one EU2000i with the ECO mode on may want to look at the very latest generation Coleman Mach PS (Power Saver) units. The 11,000 BTU Coleman Mach PS (model number 482X7-9XX) has a very low LRA of 41.5 amps (9.5 amps full load). This unit can cool most smaller RV's. An EU2000i should easily start this a/c with the ECO mode on. The 13,500 BTU Coleman Mach PS (482X8-9XX) has an very low LRA of 50.5 amps (10.0 amps full load). Although I haven't personally tried it, I'm confident an EU2000i has a very good chance of reliably starting this a/c with the ECO mode on. Please don't confuse the 482X8-9XX 13,500 BTU Coleman Mach PS with the older model 482X8-8XX 13,500 BTU Coleman Mach PS which has a much higher LRA of 58.4 amps.
For those that don't have the need or desire to run everything in their RV at the same time, I think it's much more cost effective to replace an RV a/c with one of these new "9-series" Coleman Mach PS units (approx. $700-$800) and purchase just one EU2000i. Why spend $2000 for two EU2000i's just for a few seconds of extra inrush current to start a less efficient RV a/c?
My two cents . . .