My intuition for this is: given a fixed and known scoring range (say 0..100), when scoring very low there is simply a lot of room for overestimating yourself an

My intuition for this is: given a fixed and known scoring range (say 0..100), when scoring very low there is simply a lot of room for overestimating yourself and when scoring very high there is simply a lot of room for underestimating yourself. So all noise ends up adding to the inverse correlation naturally.