It is not advisable to turn off the ignition while it is
moving, so it is a no. Why? Even though the vehicle has steering wheel lock,
turning off the ignition while it is moving is not advisable because it causes
the vehicle to lose out of control, leading to complications and accidents.
These actions are an example of feedback. Given that the room has reached the desired temperature, there is no more need for it to be heated, at least until the temperature drops a bit. This is why the thermostat sends feedback about this situation to the heater, which immediately switches off until it is needed again.
