I'm an engineer in many disciplines so I understand quite a bit about everything. Knowledge is power and key to most phobias.
At CAPcon one of the elevators was getting bouncy and shaky and freaked a few people out but I said out loud it was likely just a faulty sensor causing a hysteresis loop and making it constantly try to manually range and recalibrate where the stop points were as it tried to stop at a floor. Additionally in first world nations at least there are regulatory inspections and requirements for various stages of redundant emergency systems. Multiple cables, each of which could support a overloaded car alone, ratcheting systems, inertia brakes that would prevent a straight drop, etc
Also rule of three: 3 minutes without air, 3 hours of exposure, 3 days without water, 3 weeks without food. Elevators are required to be well ventilated, and are within climate controlled buildings with backup generators. Most people had water bottles with them. Worst case scenario and fear would have been that you could survive in that elevator long enough for CAPcon to be over!!!
As for fear of dark, monsters, animals, thugs, etc. a firearm and a flashlight and the resolute self determination to never be a victim goes far. I hate horror movies where somebody is unarmed and can't see in the dark and they decide to follow a fresh blood trail into a dark corner.
Knowledge. Is. Power. And tools help too.