I saw an interview with James Nachtwey a year or so ago, and he spoke very eloquently about this dilemma between making the photograph and putting the camera down to help. He has, from time to time put the camera down, but if there is help nearby then he has a job to do, and a story to tell. That's not to say there aren't photographers out there who exploit situations for their own egos, agendas, and careers, because there are.
Anyway, Eddie Adam's picture is very important to the history of photography and to the history of Vietnam. It's a powerful and shocking image, but this photograph and photojournalism in general has it's limits, and always requires context. I've rarely seen this image reproduced with an accompanying story.