For those interested the 3 games (that I know of) that are designed to use a push button joystick are
1. Ninja Gaiden (aka Shadow Warriors)
2. Silk Worm
3. Block Out
Specifically my panel was designed for Block Out.
Annoyingly, all 3 of these games use different button mapping and NONE of them make sense
Ninja Gaiden has button 3 on the joystick then buttons 1 and 2 on the panel, that's fine but they also swap P1 an P2, so if you were to plug in a normal JAMMA harness your player sides would be backwards.
Silk Worm has button 3 on the joystick but then the panel has button 2 on the left and button 1 on the right, they ALSO swap P1 and P2 controls, though it's less noticeable since the player you choose determines your vehicle.
Block Out has button 1 on the joystick, then from left to right is button 4, 3, 2 for some dumb reason, thankfully it doesn't swap player positions though.
For those unfamiliar, Block out is a 3D Tetris game, the 3 buttons rotate the part along each of the 3 axis and the joystick button drops the part. I've also seen this game wired up with two normal joysticks, where left, up, and right on the right joystick rotates, and down on the right joystick drops.
View: https://www.youtube.com/watch?v=2Tn_WoNxG2M