I've had a pair of EU2000i's since ~2006, absolute great workhorses, no idea how many hundred's of hours on 'em (I use them a lot around the property in addition to when camping), but I did suffer the clogged-jet/no-start syndrome due to intermittent use.
After the second carb-teardown I installed a valve to allow fuel-shutoff separate from ignition cut-off and thereby 'run-dry' upon shutdown. Nary a problem with clogged jets since and that's been many years ago.
The later EU2000/2200's have a fuel valve position separate from ignition cut-off that allows 'run-dry', there's many YouTube videos and even kits sold to install it on those early versions that don't.
Just FYI, Have Fun!