If I were carrying out this attack against NIST, and it had failed up to now (i.e. they chose 'wrong' from my perspective), my next step would surely be to publish something which calls into question the conclusion they came to. This would cause everyone involved to start second guessing, loose confidence in the process, and make it easier to re-mount the attack either now, or in the future.
N.b. I assume this document has been written in good faith and with the best of intentions. It's just hard not to see some contradictions mixed up in there.