The movement direction on the card does not matter. Instead, note the action to decide where the Robot Pilot moves (refer the the Robot Pilot Guide). The Robot Pilot will turn to face in the direction it just moved (unless it Diagonal Jumps or Double Jumps, see Combat with a Robot Pilot).
The direction the Robot Pilot is facing is important! As a rule of thumb, the side where the Weapons are facing is the "front."