Welp,
I checked and the game will not coin up separate from the coin counter... however, if you do what whammoed suggested and just tie both together it works fine... evidently the counter is wired to the NO and the PCB is wired to NC... the game appears to work fine when it's wired to NO though. When I press the button I can hear the counter kick and when I let it go I get a coin up... win!
I also took a little time to look at one of the barrel key switches I have that I hate (because they are spring loaded and will pop the key out)... I was able to remove the back of the switch, insert and turn the key 180 degrees and then reassemble. What that did is that the key is now permanently in the switch... you can't remove it... which is just fine.