I think this is one of those examples of a latch/trip double-coil relay causing some confusion. The "Game Over" relay has 2 coils - trip and latch. When a game ends, the trip coil gets a pulse and locks the relay into 1 position - tripped (see snippet below), and when you start a game, the latch coil gets a pulse and locks the relay in the other position - latched. Schematics are generally drawn with a one-player game started, the ball kicked into the shooter lane, and then the game unplugged.

trip (resized).JPG

Unplugging the game won't matter in this case because the "Game Over" relay is mechanically locked into one position. Because a game has already been started, that's the latched position as drawn on the schematic - so all switches are drawn with the "Game Over" relay in the latched position.

But after a game has ended, and you are about the start a game, but haven't pressed the credit button switch yet, the "Game Over" relay is in the tripped position, which means all the game over relay switches are in the opposite state of how they are shown on the schematic. That yellow "Game Over" switch on your schematic snippet is actually closed when you press the button to start a game.