Step 1: Start from the job a guide rope has to do.
Guide ropes run vertically down the shaft and their only job is to keep the cage running true and steady, resisting sideways sway, they are not meant to stretch, flex over sheaves, or carry the dynamic hoisting load the way a winding rope does.
Step 2: See why ordinary stranded construction is a poor fit for this job.
Stranded ropes, whether with a fibre core or an independent wire rope core, are built from twisted strands, which gives them flexibility, exactly what you want in a rope that must bend repeatedly around a winding drum. But that same twisted structure gives a rougher, less uniform outer surface and a tendency to spin under load, both undesirable when the rope's job is simply to stay rigid and still as a guide.
Step 3: Explain why a non stranded (locked coil) rope suits guiding instead.
A non stranded, full locked coil rope is built with round wires at the core overlaid by interlocking, shaped wires on the outside, giving it a smooth, almost solid cylindrical surface with very little tendency to rotate. This smoothness reduces wear on the cage's guide shoes as they slide along it, and its rigidity keeps the cage running true, which is exactly the behaviour needed from a shaft guide rope.
\[ \boxed{\text{Non stranded rope}} \]