It looks like a relay panel capable of handling a serious amount of current.
Way-back-when logic circuits were built out of relays. They are big, bulky (a gate is a relay or two), and costly, so not as common today, but near impossible to kill and can handle all the current you have the space for.
The coils of various relays would be connected to the buttons and position sensors, while the contacts of the large relays appear from the video to carry the main motor current. I would imagine there are some additional low-power relays elsewhere for more logic; I doubt what's seen just there could provide control for more than a couple floors.
Relay logic is still used today (in spirit) in PLCs in the form of ladder logic. There are seldom any physical relays, save the occasional one on the logic's output.