Good question. Haven't found any adjustment yet but here's the thing. My Mk2 never, ever, turned on the lights in dull wet weather but frequently turned them on in bright sunshine. This morning my Mk3 turned on the lights in dull wet weather as you would expect so I guess there must be some adjustment somewhere. Like you, in the Mk2 I had to turn the lights on myself and, indeed, turn them off when the auto system turned them on at 4 pm on a bright sunny afternoon. My auto lights were almost worse than useless.
Hopefully someone who knows will be along shortly.