If it's not a paradox you're not doing the Feywild right.
I think you may be confusing the Feywild with Limbo. And maybe it depends on the person, but when I think about the Fae, I think Thomas the Rhymer and the Wild Hunt, not temporal paradox.
The line of reasoning assumes that the die roll determines the time step. That can't be measured directly and may not be true. Alice can do experiments like these:
Um... is it appropriate to have the lands of the fae subject to the strict logic of the scientific method?
She can't prove that the global function is not consistent...
Yes. Remember that Oberon and Titania would laugh in Einstein and Hawking's faces, right? And Tinkerbell giggles every time someone says "mono-tonic" because that's a kind of medicine you give to the Darling children before Peter Pan gets to them.
If you are thinking about the Feywild, should you be thinking "monotonic functions" or "*MAGIC*"? It is, ultimately, a question of genre you want to play in.