Oh, that looks like it will be fun

Maybe the pin's gotten on the wrong side and that's supposed to be a NC switch instead?

Actually, I think that's right. At the top of the schematic above the Replay Register Reset coil there is a Selection Unit Open at 3rd Step switch.

In that grungy disc shot, the castellated nut is on backwards. Is there actually a hole in the shaft for a cotter pin?

From the schematic, there is absolutely nothing in the way of the GI but the 8A fuse, and it and the 6V tap on the transformer must be good for the Tilt light to be on, as it's on the same tap and fuse. I would check for a broken wire somewhere, as I bet they daisy chain from one to the next like most games do. It is possible that all the GI is burnt out too, I suppose.

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If the lift idea doesn't pan out, what about unhooking and unbolting the head and rotating it 90 degrees so one side rests on the cabinet, then pull it out sideways.

That's a strange design. I wonder what made them think every location would have a high enough ceiling to extract it out the top?