The fridge control system ( powered by the 12V leisure battery) is a microprocessor controlled system, part of it senses the voltage on the 12V fridge heater circuit electronically (not by some voltage sensitive relay) it compares the voltage with two values in its fixed memory (one =turn on , the other set lower=turn off), if the voltage is above the turn on value then it will turn on the 12V heater, after a short time ( usually 10 seconds to one minute -known as polling) it measures it again, if it has dropped below the lower threshold it will turn off the fridge heater and signal an error by flashing the battery symbol and will sound an alarm.It will keep checking the voltage as long as 12V is selected, same for the 240V heater , the threshold on a Thetford is 208V r.m.s.
Re the time for testing the heater element, The 240V and 12V heater elements are both cartridge types , they each sit in their own tube , welded to the gas flue pipe and fridge pipe, surrounded by a layer of insulation and an outer metal jacket.It would be extremely unlikely if the 12V tube came adrift from the fridge pipe and even so it would still be surrounded by the insulation and outer jacket, so the heat it produced would still transfer to the fridge pipe. The only other way it would fail to boil the ammonia/water in the fridge pipe would be if it wasn't inserted into its sleeve , which I check for when looking at the gas flame and the general condition of the wiring at the rear. When I have had to replace a heater element the opposite is normally true - a lot of tugging and swearing is required to extract it!.As prof says there have been lots of reports of voltage loss when measuring the voltage at the car plug end and at the fridge heater end, this could be due to aging of the connectors(there are several intermediate ones in a caravan wiring harness), and fuses over time.I've seen a few motorhomes with melted 20A fuses and wiring feeding the 12V fridge circuit as they have the larger 170W elements , taking about 14A at 12V and 16A and 14.2V