There are slight differences between how Williams, Bally and Gottlieb built games, but the principle is all the same, especially as it relates to the function of circuit boards on score reels. They all work the same, all have the same function.
This thread makes my head hurt. You claim you know Williams games but then buy a Gottlieb then complain that it makes noise. I don't know what you've done to your other games, but Williams games make just as much noise as a Gottlieb, in some cases more if they have the big bell in them that you can hear down the street when it sounds.
You're trying to solve an issue by searching in the wrong place. You need to find why the coil for the score reel isn't functioning. You need to put your multimeter on resistance and take a reading on that coil. If it's under 1 ohm, it's toast, if it's above that, it's fine. Then you have to work back through the circuit, on a schematic, and find what fires the coil under reset, and under game play. And you have to make sure you have the switches on the reel properly set so the game will reset and the motor stop. Your other reels will show you the proper position at 0, at 1-8, and at 9, since you said they all reset ok.
It's one thing if you know nothing about EMs, but claiming you know Williams games and acting like Gottlieb is a foreign language isn't going to get it, because while there are differences, again, the principle of game function is exactly the same.