dugarug1, Allow me to add one more possibility and I know you do not need one more thing that can cause that specific problem.
I have a 1997 four winds with a Onan Emerald Plus 4kw gasoline generator. It just started all by itself to only run when I held the Start side of the switch down(the switch on the generator itself, or the remote switch). If I would let up on the switch the Generator would die immediately. To shorten the story I found that the rubber cover over the Start/Stop switch (On the generator itself)was slightly deformed and would immediately move the switch back to the Stop position just enough to Stop the generator and it was holding it in the Stop position when the remote switch was used. I have a remote start as do many of the Onan generators. One thing I did note after the fact was when the issue started There is a red light in the remote switch and if it did not come on when the generator started the generator would stop immediately when I released the switch. Now the generator starts, the red light comes on and the generator continues to run. Some day I will get another cover for the switch on the generator.:)