Step 1: Rule out the devices that serve other purposes in the shaft.
Guides keep the cage travelling straight and steady as it moves through the shaft, they play no special role once the cage stops at a landing. The Lilly controller is a winder mounted safety device that limits speed and prevents overwinding, it is not a fitting inside the shaft itself. The safety hook (detaching hook) only comes into play in the event of an overwind emergency, disconnecting the rope from the cage, it has nothing to do with routine loading and unloading.
Step 2: Think about the actual moment of loading and unloading.
When the cage arrives at a landing to load or unload tubs or men, it needs to be held completely still and rigid, but the winding rope itself has some natural elasticity and can bounce or oscillate slightly under the shock of tubs being loaded or unloaded, which is undesirable and can fatigue the rope over time.
Step 3: Describe how keps solve this landing problem.
Keps are retractable supports fitted at the shaft landing. Once the cage reaches the correct level, they extend outward to physically bear the cage's weight directly, letting the winding rope go slightly slack. This takes the shock loading of loading and unloading off the rope and keeps the cage steady, providing the smooth transfer of load between cage and winding rope that the question describes.
\[ \boxed{\text{Keps}} \]