Car on flatbed back to the dealer this morning for diagnostic and probable new battery.
I did a test again this morning. The car was still showing 70+% charge and started fine. I plugged in the small 12V cooler for half an hour and then - dead flat, no start. The car still jump starts OK but in the end it was easier to take the roadside assist offer of a tow truck back to the dealership than drive it up there without a lift home.
When I initially queried the constant indicated low state of charge the dealer has been telling me that the "no battery fully charges". I'm not so sure about this. The internet tells me that AGM batteries are damaged by constant under-charging and unless fully charged, their full charge capacity diminishes. Can anyone here back this up?