On Thu, 23 Jan 2020 12:04:17 -0000, Jim GM4DHJ ... wrote:

Is it OK for rear fog lights to go off when the ignition is turned off?....

Who cares? I never ever use mine. They look like brake lights. So when you brake, the person behind doesn't know and slams into you. A very dangerous invention. Tail lights are enough for the following car to see you. If they aren't, they're driving too fast for the conditions and it's their problem.