Hi Kent,
That switch would have to open up if you're even going to use the coin chute associated with the W, so I'd say that is someone's hack at attempting to keep that n/c switch closed.
Can you tell from the schematic which of those two n/c switches is the one in the start circuit? I'm guess that the hacked one is it simply because of the hack but you never know.
Another backbox animation game, huh? Hope that one works better than the other one we worked on. I've never seen this game and had to look it up, another of those nudger's delights with all those drains in the middle.
Good luck with it. Wonder why it was being trashed.