If the thermostat has failed closed and the circuit remains live for a couple of hours then someone would have noticed the water boiling or the overheat cutout (if fitted) will have operated.
If the thermostat has failed open a simple continuity test will identify it.
Continuity of thermostat has been checked and is closed as expected with a cold tank so i know it hasn't failed open.
Your might be right that someone would have noticed the water boiling if it had failed closed- although my parents-in-law are old and have medical issues so i wouldn't bet on it. (hence them currently selling the house to move into sheltered accommodation). This thermostat doesn't have a cutout
As far as I can see only the supply cableing has been IR tested and not the actual heater element so far?
I tested between heating element line connections and PE, this gave a high insulation resistance of 5 GOhms. I did actually state this in post #9
just replacing parts until it starts working again
I think that is a bit unfair.
On the first time round I identified a failed mechanical timer and no other faults: continuity, IR and element resistance all good. The mechanical timer is at least 30 years old. So i think it was fair to consider it a failed part and simply replace it.
The second time around a fuse had blown - again all tests came back OK, no obvious cause of the blown fuse. All tests, continuity, IR & element checked out. No visible damage other than the blown fuse. Again with nothing to go on I think it was fair to replace a fuse, consider it was perhaps due to a 30 year old fuse being disturbed when the circuit was first examined.
On the third time round, no blown fuse and no power to immersion heater. clearly continuity issues which on investigation was found to be broken wires due to thermal overload in the CU. Clearly there is an unidentified fault and that's how I've left it.
I'd like to hear what you would have done differently?