Looking from above the stick, if you push the stick up, the actuator moves down, and moving the stick right moves the actuator left.
How this looks from the bottom depends how you flip the case. If you flip it sideways, then up still is the lowwer switch, but right is now the right switch. (If you flip foward/backwards, the right says with the left switch, but up is now upper switch.) Your drawing shows it as if you flipped both ways.