I delaminated 5 pairs of this ski (despite the issues, still one of my favorites) back in ... 2009? My last two pairs are still in the rotation for race days (as a coach or official).
If I recall correctly (and I very well may not), the white tiger symbol on the base was for the "consumer" version of the ski that came with a system binding, and the all-black base was the "race stock" version (same dimensions and topsheet). It's possible that the previous owner stripped the system binding off the previous version (it wasn't that hard to do) and mounted a piston plate on top. I had to do this with the previous year's ski because Volkl ran out of "race stock" pairs in March. Skied pretty similarly. I could also be off on this, it's been a while.
As others have mentioned, this ski didn't come with a premounted piston plate, so you get the preferences (or availability) of the previous owner(s). If bought through a shop instead of through a rep, not all shops had/have great knowledge of race product. I know a lot of shops didn't have both the SL and GS plate, or would have many fewer of the SL plate and would mount GS plate instead and either (1) hope the user wouldn't know/notice or (2) make up for the height difference with shims. Some people would have lifters on their boot soles to get to the max stand height and would want the same plate on their SL and GS skis. I ran into this when I would get skis from a rep but was "on my own" for plates/bindings.
Those are also two different generations of plate. The pair with the Comp14s have the older style plate, and the others (the "new" pair?) have a newer (but still pre-XCell) version.
Further back ... binding placement is pretty personal, as I'm sure you know. Could be anything there.