Here in Oregon we have an abundance of rain. I have run my Honda 2000 in the rain numerous times. No tarp, no cover. I've even run it in the snow a couple of times. These generators are very well protected and it has never been a problem. I have even opened up the wet case right after shutting it down, just because I was curious. It has always been perfectly dry inside. It now has several thousand hours on it.
That doesn't mean I leave it sitting out in the rain if it's not being used, or run it while it's sitting in the mud. I use it, I don't abuse it.
curmudgeon: noun; a crusty, ill-tempered, irascible, cantankerous old person . . . .
79 27' Holiday Rambler Statesman, 78 32' HR Imperial, 85 36' HR Imperial 5th Wheel