The KW has a new power lead, fitted by the previous owner whose soldering was a lot better than mine, so I’m assuming that the solder joints are good. The symptoms certainly fit, for a failed circuit breaker.
I found this page http://www.tranz4mr.com/KW_Re-Build.html which contains a lot of detail, and includes an external check for the binding posts, so I’ll do that this morning. I doubt that it’s a failed binding post, as all the terminals are equally affected.
From experience of the circuit breakers on older Harleys, if it has an old-style mechanical breaker inside the case, it would be worth replacing it with a modern one anyway. I had already noticed an occasional hesitancy so my thoughts were already pointing in that direction.
I was already thinking about trying one of the Harley circuit breakers, I have a couple of spares in hand but I don’t believe I have a 10A one.
Anyway I now have a fairly complete check list and some good detail photos to work to, so I’ll order a new circuit breaker on general principles and make a start when it arrives.