I'd look carefully at the Z1 and Z2 relays. There's a switch on each that's normally closed, but should open during the reset sequence when each relay is energized. I can't post a pic of the schematic in that area, but the wire colors on the Z1 switch are OR-WH-RED and BL-WH-RED. The wire colors on the pertinent Z2 relay switch are OR-WH-RED and BR-WH-RED. If those switches aren't opening when the relays are energized, I think they would just bypass the score reel switches and allow the rest to continue.

Do those relays energize at all during the reset?

Here's a relevant snippet from the schematic. The path to turn on the Z relays is in red. If your Z relays aren't turning on at all, then check pos 20 and 21 on the player unit and a switch on the AX relay. I'd check that AX switch first - those AX relays are notoriously finicky.
RF Z relays (resized).JPG

That m/b AX switch has a YEL-BL wire on one side and RED-WH (or a jumper) on the other side. Good luck!