I don't have an Aloha schematic but this one from Lite A Card might be similar:
Lite A Car Tilt relays (resized).jpg
In this schematic the Tilt switches fire the T/Tilt relay, not the 1st and 2nd Player Tilt (TB1 & TB2) relays.
The way this works I think is that any of the Tilt switches at the top of the schematic can fire the T/Tilt relay. When the T relay fires it opens the normally closed T/Tilt relay switch which was sending current through the H/30 Volt Hold relay, causing it to relax. When the H relay lets go, the Make/Break switch in the bottom right corner sends power through the circuit that fires either the 1st (TB1) or 2nd (TB2) Player Tilt relays, depending on who is playing. Once one of the players has tilted, the ball drains and the B/Change Players relay fires which restores power to the H/30 Volt Hold relay and the rest of the game. The TB1 (or TB2) relay doesn't reset since it is a trip relay. The effect I imagine is that when one player tilts his game is over while the other player is allowed to finish the game.
If your schematic looks like this one I'd investigate the four switches that drive the TB1 relay. Most likely I think is the Make/Break switch on the H/30 Volt Hold relay. If that switch is stuck closed your TB1 relay would not want to reset.