Correct me if I'm wrong, but I don't recall a similar run-up when Darian Satoshi was claimed to be SN, thus setting a precedent for a subsequent run-up via a fake media campaign if that's what we're witnessing now.
An actual, verifiable and conclusive reveal of Satoshi would put the fear of god into the market.
The proposition that market rallied because of this news is bollocks.
I'm not sure which exchange led the run-up, but it's not outside the realm of possibility that they caused the uptick internally taking quasi-advantage of the recent news pertaining to Craig Wright.