I'd rather be concerned with implementations of functions, like Turing machine tapes, or C code, or x86 instructions, or the like.
In any case the point is rather moot because the function is human generated. Hopefully humans can do better than random, albeit i wouldn't wager on this - the FAI attempts are potentially worrisome as humans are sloppy programmers, and bugged FAIs would follow different statistics entirely. Still, I would expect bugged FAIs to be predominantly self destructive. (I'm just not sure if the non-self-destructive bugged FAI attempts are predominantly mankind-destroying or not)
Here's my draft document Concepts are Difficult, and Unfriendliness is the Default. (Google Docs, commenting enabled.) Despite the name, it's still informal and would need a lot more references, but it could be written up to a proper paper if people felt that the reasoning was solid.
Here's my introduction:
And here's my conclusion:
For the actual argumentation defending the various premises, see the linked document. I have a feeling that there are still several conceptual distinctions that I should be making but am not, but I figured that the easiest way to find the problems would be to have people tell me what points they find unclear or disagreeable.