Allow me to give another perspective on "photographer versus photoshopper".
Implicit in the question is whether you make alterations to the taken picture.
Actually. "Analogue-Photoshop" have been in existence for a long, long, time, way before computers are invented and before somebody made this thing called PHOTOSHOP.
Ansel Adams applied the analogue-photoshop long ago to most of his landscape photos. The reason is that the camera CANNOT capture what the human eye sees accurately. An example, when you look at the sky, your pupils constrict and the dark is darkened. Then when you look at the fields below, your pupils dilate and the fields lighten up. But when you point the lens at the scene, the aperture remains fixed, so you chose to expose for the sky and darken the fields, or chose to expose for the fields, and lighten the sky. You have no choice. So the negative, no matter how well processed, will have this discrepancy. It cannot capture what your eyes (or more accurately, your brain, visualized) So after the negative is developed, post processing is required. Either at the negative stage, or at the printing stage. An excellent example is Ansel Adams well-loved "Moon over Hernandez". For this picture both the negative and the print were heavily "photoshopped".
This tradition of "analogue-photoshop" is carried on today by practically all fine-art photographers, including some of the finest black & white printers (persons, not machines) such as John Sexton and Bruce Barnbaum. The important thing is that the final picture should generally not deviate from the original scene visualized by the photographers. It means that "analogue-photoshop" is applied to allow the photographers to show what they saw.
However there are photographers who do not like the tremendous alterations of the "analogue-photoshoppers". A person who came to mind is Edward Weston with his concept of "Purity of Vision", where all elements will have come together at the moment when the shutter is clicked. His pictures have the simplicity and clarity that is very refreshing. Ansel Adams's pictures are best described as Wagnerian drama. A more contemporary photographer for "clear vision" is Paul Caponigro (the father, not the son)
Today, we have photoshop. Actually what photoshop offers is essentially what traditional photographers have been doing all the time, but on the computer instead of the wet darkroom!
So, that is! For practical purposes, most photographers are "photoshoppers", analogue or digital. But I think the "Purity of Vision" would be what I would like to strive for.