OK, did this: Started, and the headlight/driving lights, turned off.
Then hit the 'kill' switch, the light stayed on, but when I press the starter button, they went off.
So I conclude, (at least on this one), their is a 'cut off' switch, for the lights, when the starter button is used.
As it starts in, 3/4 to 1-1/5 sec, (hot/cold).
Again,
Love the information, so specific to the S-40's