Only done the 16 man in Normal (it's probably the same), but there is something else going on. I suggest you look at your detrimentals while you click. There is a way to deal with it. I suspect they intend for there to be 2 people at each station, but it's not necessary if you can figure out how the debuff works.
Three for the switches and one floater works best I have found. The floater just goes from switch to switch to reset the debuff.