No, when I touch them it only zaps me, as though I were being grounded. nothing happens to the screen.
And assuming that Apple doesn't mess up their internal wiring to connect the ground to a lead, it wouldn't really be dangerous to connect the common ground to the bolts...
Hey, when opening the case Apple indicates that you leave the power cable plugged in, ground yourself to the metal plate/bolts on the inside, then disconnect the power cable.