I don't understand how a spring/shock can be mounted upside down? Surely, however you put it in, it just expands and contracts between the chassis and the wheel assembly?
The outer half is heaver than the inner piston bit (sliders and stanchions, if you want to get technical). Ideally you want the heavier part at the top rather than the bottom to improve your unsprung/sprung mass ratio - Same idea as shaving a few pounds by using lightweight wheels - makes the wheels travel up and down over bumps more nimbly without transmitting that force to the chassis and rest of the car.
Ben, yes, as far as I can see you can mount them whichever way round you like as they just compress. Mine are mounted different front and rear. The fronts are mounted with the adjuster knob at the bottom so I can reach it when the wheels are at full lock and the rears are mounted the other way round with the adjuster knob at the top so I can stick my arm in through the wheel arch (with the help of a jack to lift the chasis a little).