I don't know what cigarette packaging looked like at the time, but can imagine they were possibly government provided in a very simple paper package.
https://britishmilitarybadges.co.uk/products/princess-mary-1...
That Christmas box itself, by the way, is beautiful. Brass, with an embossed portrait of Princess Mary, and scrollwork on the cover. My former father-in-law had one, that had been brought back by his father from France - missing, ironically enough in the context of this conversation, only the cigarettes, which he didn't smoke, but used in trade.