That style of drive depends on friction, differential, in that the total rotational friction of the various pulleys and tuning capacitor must be less than the friction of the 2 or 3 turns wrapped around the tuning shaft. THis type of "drive" has been around for almost a century and is very dependable, so long as it is in good repair.
The dial string and tuning shaft it is wrapped around must be dry and not have any type of lube, wet or dry, applied to it. However the shafts the pulleys rotate on should have a touch of lube unless they and they are of brass construction. Additionally, the bearings and races of the tuning capacitor must be very CLEAN, with only a touch of oil.
Additionally, the grounding fingers, which ground the capacitor shaft at both ends of each section must be clean as well.