I ended up buying a Kipor 'silent' inverter pure-sine generator off ebay; 2500 watt (2.3 KVa rated, 2.6 surge) suitcase style for $740 shipped. The Kipor is a Honda clone made under license; it has simpler design from piston rings or bushings substituted for bearings but is still a Honda design. I have not tried to start an RV AC unit with it, my AS isn't so equipped.
The eu2000 is a 1600watt and 2000w surge unit and weighs twelve pounds less than the Kipor unit. As noted above the Honda simply has too many "STEAL ME" flags built into it and I'd never feel comfortable leaving it unattended, also when I got mine I also purchased the Kipor 3500 (eu3000 clone) for my parents as rural home backup and got both units for less than the eu3000 alone. ($1600 delivered cost)
Kipor is just now getting a true North American brand presence so look for model numbers that reflect the true output if you don't want the slightly 'grey market' versions; mine is the KGE 3000ti. They are on eBay now for a $60 premium over which I made my 'best offer' buy.
If you have the money go with Honda, I know an eu3000i that went 12,000+ hours before needing replacement, and same ranch has run an eu2000 for over 6000 hours, both without major breakdowns - but for budget purchasers do consider the Kipor units!