Solving this problem, depending on the make and model of your fridge, may be so easy you will FACE PALM when you do it.
On your fridge there is at least one switch, and possibly two, these are likely slide switches, On/OFF not knobs and not push buttons.
one is marked something like Moisture control
This switch controlls a genuine heater that is in the area of the door seal, the job is to heat it enough that water does not condense when you open the door.
The other is marked LAT or Low Ambient Temperature This one keeps the light on when the door is closed. That is it's function to keep the light on
I do know why, but clearly the fix is to turn it off.
Why keep the light on
Turns out if it's cold enough out (neer seen it that cold) the firdge does not run enough to keep teh frozen froze or some such so adding a bit of heat (from the light bulb) inside the refrigerator keeps things working properly
