Any function which is more bumpy when it's low, and more smooth when it's high will be like that.

That's what I just said:

Only if the space is constructed to have more local maxima when f(x) is small,

You are hyper-focusing on this as if it made a difference to my proofs. Please note my previous comment: It does not matter; I never talked about the average IC over all possible agents. I only spoke of IC over various recombinations of existing agents, all of which I assumed to have IC that are local minima. The "random agent" is not an agent taken from the whole space; it's an agent gotten by recombining values from the existing agents.