Crozier allegedly sent his memo only to other people in the military, trying to get some action instead of the dithering around that was going on when deciders fail to decide. Apparently it was one of those "other people" who sent it to the media when the Pentagon failed to act.

But yeah, canning Crosier is how the military works. The military works by hitting the "fall man" for the failures of others higher up the chain of command. It must have been the military that invented the motto of "place blame, early and often."