IAnd if you don't think that war correspondents such as Don McCullin and James Natchwey have ever decided, at certain moments, not to press the shutter, then I suggest you look a little further at their writings.
There is a HUGE, ENORMOUS, VAST difference between what these guys are best known for (documentary work for weeklies, monthlies, and personal projects) and spot news reporting for a local newspaper (which I will call "journalism" as a category of photography for purposes of this rant). Documentary photography is far more personal in nature, is far less directed by an editor, and can acceptably be FAR, FAR, FAR less objective than spot news journalism.
The very act of clicking the shutter is an edit. We all self edit; if not by choice, then by physical necessity of the craft: You can't shoot everything that's going on all the time with a camera the same way it is experienced at the scene. Your job as a journalist is not to literally interpret every detail of an event. It is to experience the event in person, and figure out how best to tell others about it, using your available tools. One thing 90% of photographers just don't seem to get about photojournalists: THE FIRST JOB IS NOT PHOTOGRAPHY. It is JOURNALISM: to be a professional witness for the purpose of increasing the public information. The camera is your tool, and you are to use it to do this accurately, fairly, objectively, and in a timely and relevant fashion. (Notice that "perfectly", "coldly", and "literally" are not on the list.) Your camera is your equivalent of a writer's words. Just like a journalistic writer's main goal is not the creation of a literary piece for sake of a literary piece, the journalistic photographer's main goal is not the creation of a photograph for sake of a photograph. We all make decisions as to how to do these things; how to cover an event and tell the story in accordance with fundamental journalistic standards. We can't be PERFECTLY objective, but if we are good, we do our damned best to TRY, and also to work as a TEAM with the ENTIRE editorial staff who will end up touching the story; not make heavy-handed personal decisions that will sway the coverage away from proper standards. Our personal decisions while shooting should be made with the final goal and its required process in mind: the spread of important information,
and the editing process that will follow our own work in the field. Are there shots to not take? Of course. You make those calls at the scene. Are there shots not to use? HA! YEAH! About 35 out of every 36 is trash. The editors make this call, and the better the shooter does his/her job, the better the editors can do theirs. But you do NOT make the decisions based on overwhelming individual emotions or opinions. It is called being a professional. It involves understanding that what you are doing is not about any individual, but about the community's need to have important information delivered in a timely, accurate, fair, balanced, and objective manner (and, at least in this country, the vigorous practice of the legal LIBERTY of journalists to perform this service).
There are very different ways to cover different sorts of events. With spot news, purposefully missing an obvious safety shot is not one of them. It is irresponsible, irrational, and ignorant of professional standards and practices in the field, and of basic journalistic concepts and ethics. The concept of the "safety" shot and "coverage" (left, right, vertical, horizontal of every event, if possible) are things that you should (or even MUST) adhere to when shooting journalism, and have the choice to adhere to or not while shooting documentary. Journalism is FAR more formulaic and entails far more responsibility than the type of photography that it seems *most* of the people on the "nay" side in this discussion have ever practiced. This is not a put down. It is just a statement that a better understanding of the profession and its practices, and actual training and experience in the field seem to grant a different perspective. You can't apply fine art standards to journalistic shooting, or even documentary standards. That is a terrible trap that most photographers fall into unless they have actually received training and worked in this sort of job.
BTW, censorship is a bad word for this. It is simply choosing how to cover an event. Censorship is too "loaded" a word.