since the AC already had a starting cap, I wouldn't expect much improvement from the supco. AC units w/o a starting cap (most of the coleman Mach III OEM's BTW) benefit the most.
I'll agree with Wayne D., the dometic you have seems to have a reputation of one of the easiest to start units and best luck with Honda 2000. Are you sure ALL the other loads in the trailer are off when the AC starts? (That includes the converter, fridge on AC etc.) Even with the yamaha, your in somewhat marginal territory with additional loads until the compressor motor spins up and is drawing normal current. But the yamaha should be in the "barely adequate" category, rather than the "almost adequate" category.
And if you can control the fan startup, it's better to have it start AFTER the compressor has started rather than before. that way there is less load when the compressor starts. On my AC I have a 10 second delay between compressor start and fan start. Fan draw isn't much, but every amp hurts during startup. The worst thing is to have both motors trying to start at the same time, although the fan will spin up quickly since it really isn't loaded much.
