Earlier quoted context omitted.
No, go look at the definition: https://www.dictionary.com/browse/analog > of or relating to a mechanism, device, or technology that represents data by measurement of a continuous physical variable, as voltage or pressure.
"represents data by measurement of a continuous physical variable" Did you read the article? The cigarette lighter represents data (pops out) based on measurement of a continuous variable (temperature)
Yes. The latch is a bi-metallic strip that moves.
There is nothing representing the temperature. IE, to meet the definition of analog it would need something like a thermometer resistor where the resistance is used by some electronics to turn off the main heater.