Hermit Scott
I have one, the eu2000i I think is the nomenclature. I have had it for two years and will swear by it. I have a portable window unit that is rated at 10,000 BTU's, I am not sure of the amp draw. I can start up the a/c and run it to the point where we are comfortable and then I back down the rheostat to hold the temp in the aft and main cabin at about 72 to 75 degrees. The main thing is the reduction of the humidity. The fuel capacity is under one gallon on the Honda. I can fill it at about 11 PM and with the a/c running, it will go until about 5 ish, sometimes when the OAT has been in the low 90s to high 80s, it has run about 6 to 7 hours before running out. I plan on setting up a fuel tank like for an outboard this year that will allow it to run longer without me having to refuel during the night, if I go to bed earlier. The autothrottle feature will ram the RPMs up and down as the load is called for.
In the winter, I use it to heat the cabin, charge up the batteries, supplement the electric water heater ( water temp to cold in the low 50s and down into the upper 40s ) since the engine just doesn't get hot enough to heat up a 20 gallon tank. If starting your cabin 16K BTU A/C unit is a concern, you can get a hard start capacitor that will get that compressor jump started, I'm sure you know. Once going, you will find you have enough amps to keep it running.
I see run times anywhere from a little over 4 hours up to 7.5, not quite 8. I love it, I wish I had gotten it sooner, and it is so quiet that when it is running and the a/c is going, all we hear is the a/c.
BTW, @ $72.00 per night for a slip fee, after 14 visits, your genset is paid for. I don't mind transit slips, but prefer the seclusion of being off the beaten path. I know people that have an anchor that has never been splashed in the water, I'm trying to wear mine out

. No one has ever bitched about the noise. But then, when I anchor in a quiet spot, I don't go in somewhere and anchor on top of someone else. Once I had someone come in to our anchorage and they bitched about something and I told them that I was there first and if they didn't like what we were doing, to pack it up and move the *&%k on. Their gripe was the amount of swing that I had due to the amount of rode and scope that I had laid out. They left shortly there after when I told them that if I came close enough to hit them, that I would pull their hook and set them adrift.