Thats not really the same right?
In the case of the turtle, you can imagine an force vector of who increases. And an force vector of time it takes to cover this distance, who also increases, so they have an threshold and meet at an certain point.
But if you need to travel a plank unit to travel at all, then every energy, who is below 50% of what it take to cover this distance is lost. And everything freezes.
Or energy is gained, then you have something like the ultraviolet catastrophe.
Or both is true, but if energy jumps all the time, we would have a super highly chaotic, mega entropic universe.
A= everything freezes
C=We life in an universe where the butterfly effect looks like a infant compared to the other chaotic structures.