I think the "Close Door" buttons on elevators are there just to taunt us. I don't think I've ever had the doors respond after pushing one of those buttons, not immediately in the sense that the closing was a result of the button being mashed.

I think the elevator manufacturers can save themselves the trouble, really, of producing the buttons if they don't let them work anyway. Unless of course they watch us on a hidden camera, as we engage in acts of random futility, trying to make the doors close faster...