I've never in my life been in an elevator where the "Close Door" button does anything at all. It seems to me that the function of the "Close Door" button is closer to one of those squishy "Stress-Balls" than anything else - you irritably push it a bunch of times while you wait for the door to close. Often, taking some action - even ineffectual action - is placatory.
Seems that when the things were first installed, they worked as advertised. The resulting random occurances of 2 and 4-way red lights messed up the traffic patterns so badly that the City decided to disconnect most of the switches and leave the lights on autopilot. They left the buttons in place, however, and didn't advertise the fact that said buttons are now dummies because the effect of pressing the buttons seemed to be, well, placatory.
True story.