Silly goose. I was just invoking a convention. The only constant is the direction the terminals face - the player.* Hence, whether you're looking at the stick rightside-up (as if it were flush-mounted on top), or upside-down (mounted underneath), in almost any case you're going to be hooking up the stick while it's upside-down (panel turned on its face).
*This will be only slightly different if you have the panel standing on its long end (you know, where the cables generally exit), or if you have a top-opening panel, in that the terminals will be facing up. However, the symmetry will be the same. Only the axis will change: in the general case, the axis is horizontal (say, X); in the special case, the axis is vertical (say, Y). In both cases, it is a transformation by rotation. (Correction to last post: inversional transformation requires the items be arranged vertically (which would be arrangement along a Z axis). In both the above cases, the items are arranged horizontally, despite axis change, which itself is a transformation.
(You can see why definitions are often much shorter than descriptions - but why grasping the former without need for description is very desirable.)