I was generally of the persuasion that the card backs were printed by ALC, but after coming across this passage I am now of two minds. It is from the Report of the Commissioner of Corporations on the Tobacco Industry, Part 1 (1909) pages 263-264 (I pasted the passages together for easier reading).
The text is general in its description, but it's not beyond the realm of possibility that since much of the paper packaging was being printed at the tobacco manufacturing facility that the card backs may have been printed there as well.
