An update
I reconnected the Optimate and after an hour the "recovery" light came on and in a further three hours the charge light. So the batter is not dead.
I attached my golf cart battery and switched on and all the lights and indicator were activated as normal. We fired it up and the engine started straight away. However, when we switched it of the engine continued to run for 15 to 20 seconds!
We could hear something (?) was activated (ignition off) that sounded like a small puncture releasing air.
We removed the fuses one at a time until we reached 13 (of 13)
and found the fuse burnt but still intact. We removed the fuse and the noise stopped. We removed the fuse board which has a good deal of electronics sealed within it ( diodes) and found the rear of the board had small burnt patch.
Our expert mechanic suggested the fuse board is very delicate and a sharp knock could have caused an internal short. Well ... my mate was knocked off it at low speed a few weeks ago. So there we have it a 15 year old sealed unit that cannot easily be got at for repair, and is no longer available from the manufacturer.
Things do not look good.