I came across this in the Platinum In-Game Tiers section:
Originally Posted by Fat
PKMN Trainer Manson
Whether you get Skull or Armor Fossils [in the Platinum underground] is dependant on your Trainer ID. Even is Armor Fossil, odd is Skull Fossil.
Are there any other factors in the game like this that depend on your Trainer ID?
If possible, could someone tell me if such TID number factors exist in any other games?
(I don't think there were any factors in Gen I or Gen II, though.)
By "factors", I mean stuff that will
only happen if your TID is {{whatever}}.
So this excludes shinyness, the lottery, etc. since those can happen regardless of your TID.