In my view, what you call by low generality, is an image where the interest falls on the object (site) you are shooting. OTOH, what you call by high generality, is an image where the interest falls on the way you composed with some given elements, in your case found on a site. So, in my opinion your question does emphasize the following dichotomy: object/objectivity (the photographed) vs. subject/subjectivity (the photographer).
Or, let's put it this way: when seeing the first image people ask you where did you shoot it, but when seeing the second image people would like to know what did you felt when shooting it, what is the message you try to communicate. The first image has no message in it, only beauty, while the second image does have a message: your feelings about something in the picture or suggested by the picture.