Again, it's the "even in principle" I was objecting to. Picking people at random can in principle do better than letting people choose solely based on reading a short essay and seeing a picture. And uniformly random algorithm A can in principle do better than uniformly random algorithm B.

Saying something isn't possible "even in principle" specifically means that it cannot happen in any logically possible world - that's the entire difference between saying "even in principle" and leaving it out. It can't even accidentally win.