I kinda thought so by the way that your Title flows into the body of your post. This to me would rule out any of the overtemp sensors (they don't clunk anyway) simply because the pie gets cooked.
If your genset is powered by the same engine as my 1995 20 kW Onan, it is a Kubota 2203. You may be able to find the engine serial number that is stamped into the engine block by removing some of the paint on the horizontal portion of the block that is proud of and forms the mounting surface for the fuel injection pump. Serial numbers are really helpful when buying parts from your local engine manufacturer's dealer.
If my genset developed this condition (my starter turns instantly upon toggle switch activation) and I was convinced that this is a new behavior, I would remove the clasp mounted sound shield panels and:
- As I have a dedicated start battery much like a car, I would record the battery voltage with the genset at rest for a day or 2, at the battery and at the starter. I would also record it again after 5 or 10 start attempts, just to get an indication of battery capacity.
- Try to find the clunker using sound and feel while repeating the start process, multiple times.
Prime suspects include the starter solenoid (the small can shaped thing mounted on the starter motor), the stop solenoid (another can with a rod that moves sticking out the end) which should really be called the run solenoid as it operates to allow the engine to run, and the electric fuel pump, a third can shaped device that is mounted just above the fuel filter can.
All of these are on the service side of my engine.
-Once I had identified the clunker, even if it's something other than my prime suspects, I would hook up a set of jumper cables from a known good battery and the start battery and see if that makes the delay/clunk go away.
The fix depends on the culprit, but it could be as easy as a good clean up, lubrication and/or adjustment.
Further insight/ideas may be obtained by having a read through or taping into the knowledge on the Smokstak website which specializes in things that were built in a simpler time.
Hope this helps, use your common sense and good luck with whatever path you choose.