Elevators share a similar problem to rockets. Only instead of the rocket tyranny, it's the elevator shaft tyranny. At a certain point, making a building taller can subtract from the square footage because of the extra shafts required.
With a linear motor system, more elevators can be added without adding shafts. Part of making that possible is allowing elevators to change shafts.
the limiting factor is that shafts havr to accommodate bidirectional movement and using a rope only allows 1 per shaft.
you can solve this by having the cars on rails and having unidirectional shafts where the cars only travel horizontally at top and bottom. this would allow muliple elevators per shaft.
With a linear motor system, more elevators can be added without adding shafts. Part of making that possible is allowing elevators to change shafts.