28mm, I agree that I should have written the title as "2 ways of working" rather than "2 types of photographers".
To me neither classification is correct.
There is an phtojournalism, which brings you the information, may it be immediate news, or long story/research. For that photography is probably a medium that's slowly fading away (in favor of video, etc.). Anyway, it's easier to convey the information with series of photographs. I dont even think you can have story or news described with one photo, unless it's a small fact or event, that does not require any follow up.
There is also an art photography, using a camera and film, digital, polaroid, collage, what have you, to convey ideas and thoughts. Has nothing to do with image standoing on the own or in series, as there are no rules. Heck, it mostly have nothing to do with images by inself at all. Image is just a structural block for the expression. So the question is meaningless there.
P.S.
And, of course, there is camera, film, flash, gear collecting, it has nothing to do with either of the above. Jsut something to do, much like collecting swiss army knives.