I would like to know if my runs that contain the tutorial would have their time discounted.

and if that is not the case, I would like to know how to play the game without the tutorial

I believe the tutorial was added to the game later. There used to be a beta opt-in on Steam that put you on an older version that didn't have tutorial, but I think it's removed now.

I think some changes are in order for the leaderboard. I will move the old runs to a "Legacy" category and add a new one for modern runs on Any%. I think Any% Casual can stay unchanged.

Hope these new changes make sense! :)