Not at all. There is a switch a relay and a solenoid and that is basically
it. The switch operates the relay which selects the solenoid and the light.
As you have an auto gearbox there must be a fault in the light wiring
(probably at rear of instrument panel) if the box works as it should. I
assume that the instrument panel has not been changed over at any time as a
mismatch can occur between car wiring and panel.

All the best, Peter.

If the arrow is on then the problem is electrical. I assume you did push
the OD button in attempt to turn the arrow off? It's possible the button
or more likely the wiring to it is broken.