The more moving parts,  the more chances that something is going to go horribly wrong.  I would stick with simple cables if I was them.   If you are going to go with linear drive motors, then for God's sake, use a speed retarder system that uses the Locher system COG-WHEEL system (similar to that used on the Pilatus railway in Switzerland) coupled to a pure mechanical device (viscous fluid clutch)  that won't allow vertical decent speeds to exceed a certain level. That way even if all electronics are fried for some reason, the elevator will only fall gently, not deadly fast.