its only a light, it does not turn itself on and off.
come and drive my car then repeat the above
it comes on and off all of its own accord what causes that i dont yet know but it still does it all the same
On my facelift the nearside/passenger reading light was not working. Duff lamp, thought I....
I removed the whole assembly from the roof lining and swapped out the lamp for a new one. No change... Swapped it for the working drivers side - passenger still duff, drivers side still working.....
You still with me?

Turns out that the circuit board was very 9and I mean very) slightly away from its base on one side so that the soft touch button was not making properly. Once all reseated, light working fine once again.
So, possible that its a loose connection of some sort? Might be worth taking it out and rechecking/reseating all the bits and bobs...
As to the alarm being set off, some very ealy systems were voltage drop systems, as I recall, trigerred by the opening of the door and the courtesy lamp coming on. Dont think that something as old as that would still be in use on the Omega though??