When mine is outside, running or not, it is always chained up and watched over by a battery powered motion detector that’s receiver moves around with me. They’re like $38 at Northern tool. (were $15 when I got mine years ago)Anyone planning to use generators, chain them up good. When I lived in Florida, people would steal them in the middle of the night by leaving a lawnmower running in it's place for time to get away with it.
Pro tip: paint over the red led on sending unit with nail polish so intruders can’t see it go active.