I think the car has answered the question. The fault became intermittent, and has now gone away (for the moment - it will recur...), so it looks very much like a loose connection.
As one headlight leveller worked OK at all times, I assume that signals were coming from the sensors. I also assume that each sensor only sends a single signal, not one to each headlight, so that means the LH headlight was either not receiving, or not reacting to, the signals. Does anyone on here think/know different?
If I'm correct, logically the loose connection should be in the wiring to the LH headlight. I have (and can use) a multimeter, but I'm no car electrician. Does anyone know where would be the best place to start wiggling wires and swearing?
BOF