Version Check
Version check is only used to determine whether or not Citadel Skip is patched on your copy of Jak and Daxter: The Precursor Legacy.
You can speedrun on any version for the other Jak and Daxter games.
PlayStation 2
If you look on the back of your disc, you will see a number printed on the inner ring. This number will let you know if your copy of Jak and Daxter: The Precursor Legacy has Citadel Skip patched or not.
Black Label NTSC-U/C #1 - If your disc
PlayStation 3
PlayStation 4
In 2017, the first four Jak and Daxter games were virtually released for the PlayStation 4. These releases turned out to be PlayStation 2 versions of the games that were emulated on the PlayStation 4. This means that the PlayStation 4 releases are the same as the PlayStation 2 releases.