SPOILERS: Do these do anything?

[The_Hierophant]

Just noticed you get rewards at the end if you beat the game fast enough. Are these used for any puzzles

[Vintorez]

Not as far as I can tell, seem to just be in-game trophies. But not all secrets have been found yet.

[Plurmorant]

There's a puzzle related thing that shows up at the end of speedruns.