Racing Shifter position?

[Uber Affe]

I'm a little confused.
I was looking at the interior photos section and came across two people with the same style ($700 shifter) the racing looking one w/ the metal box
and both of them have the shifter mounted in two different positions.
Is one of them mounted backwards or does it not matter?
What is the "correct" way or are they from two different sources (manufacturers) and are they actually each mounted correctly?