Archbishop tried to prove a point unamenable to be proven

Someone needs to come up with a name for a syndrome that makes some people in a media crisis repeat a statement that not only won’t get them out of the bother they’re in, but will undoubtedly make their bother more bothersome
In several decades of communications consulting, I’ve seen countless managers do it; or have to be forcibly prevented from doing it. Their world is collapsing all around them, but they get furious only about one aspect of the collapse, which they see as a wilful or pig-ignorant misunderstanding of a key point.