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is there any evidence as to which version of the game is faster?
i thought maybe the pc version would be the fastest, but i dont own any of the other versions to test with

I can't be for certain, but I'm pretty sure the only difference is the initial loading time, and this won't effect future runs because time will start after the loading screen or after initializing the tutorial for the 100% category. I believe everything else is the same on all versions of the game, but don't take my word for it.