I've heard a lot of people say that the grounding isn't important, because there is always a ground wire. However, about 80% of the time somebody says they have garbled sound, it turns out to be missing screws.The board may have a ground wire, but all of the boards also have a perimiter ground plane that goes through the screws and mounts, and then into the metal paneling on the inside of the backbox.
Nearly every manufacturer has a similar scheme to their board grounding. The one that didn't? Gottlieb. Now, what does EVERY repair guide say is step 1 on old gottlieb machines? To build up an interconnected grounding network like everybody else had.
With Williams machines it shows up in the sound boards, particulary those that have speech boards mounted that have three op-amps in a chain that are amplifying any stray garbage signals.
-Hans