Condition A: Wright is Satoshi and Satoshi wants to be found. In this condition, Wright's actions make no sense. Why publish an obviously fake proof? I suppose if Wright/Satoshi lost the original private keys this would make some sense, but is really unlikely.
Condition B: Wright is Satoshi and Satoshi does not want to be found. Here things actually make perfect sense. Wright/Satoshi is trying to discredit himself by publishing fake proofs. This is a sort of hiding in the open thing that might work.
Condition C: Wright is not Satoshi but knows who the real Satoshi is, and Satoshi wants to be found. In this condition, Wright is trying to prevent Satoshi from being found for some reason, and he is doing this by trying to muddle the waters and throw doubt. If the real Satoshi shows up and provides a proof, non-technical people can now say "well Wright provided proof, but that turned out to be fake. Do we trust that this is real?".
Condition D: Wright is not Satoshi but knows who the real Satoshi is, and Satoshi does not want to be found. In this case Wright is trying to somehow capitalize on being considered the real Satoshi, or is trying to protect Satoshi from being found.
Condition E: Wright is not Satoshi and does not know who the real Satoshi is, and Satoshi wants to be found. In this case Wright is trying to somehow capitalize on being considered the real Satoshi, or is trying to muddle the waters for the real Satoshi.
Condition F: Wright is not Satoshi and does not know who the real Satoshi is, and Satoshi does not want to be found. In this case Wright is trying to somehow capitalize on being considered the real Satoshi.
Thoughts?