I am not trying to give a disservice to anyone.
What I meant was you can't save a labyrinth and then close the game just to get back into it with all your upgrades.
There is no option for that.
The only things that save are requirements for having unlocked scenes in the gallery and remembering to not show tutorial prompts anymore. (as I have gotten the tutorial for the edge of the labyrinth every time I reached it until I beat it once)
I am just trying to clarify something that I believe to be untrue.
The game has saves, yes, but you cannot save manually nor really use them in the way as to save scum levels/labyrinths.
Unless of course I misunderstood something and I am missing the actual point, that's also a possibility.