Maybe if the Captain hadn’t slept through a lot of his classes at the Academy he would have known that had he properly followed the chain of command and was ignored he could have gone directly to the IG (without notifying the press).
You don’t know that he notified the press. For all we know, The Navy Secretary leaked his letter to the press.
Was Crozier set up? Even if he is guilty, I think the Pentagon has questions that need to be investigated.