This game does not use the 4-joystick game controller, it is instead presently built on the xbox controller.
why485 was discussing games with me and threw this together while we chatted in discord. He asked me what my preferred xbox config was and made the linked game work to those settings. This config is what I settled on when I was playing shooting games that required gun buttons to be easily available as well. The shoulder buttons would not be used for thrust in my original config, as the weapons would be on those buttons, but why485 included them as due to their own preference. I did use them a bit, but am accustomed to the thumbstick press.
forward: left thumbstick press OR right shoulder
reverse: right thumbstick press OR left shoulder
yaw: right thumbstick left-right
pitch: right thumbstick up-down
roll: left and right triggers
strafe up, down, left, right: left thumbstick.