What I know we usually use Läser as the term Study if it has an educational meaning,, like Study at university,, Läser på universitet, or Study biologi,, Läser biologi. I don't know anyone who study an paper ) only Läser as Reading if it is to casual read something, like a paper, magazine, comic book etc.
Should it not be clarified that "The paper" is just Tidningen?? The NEWSpaper is Nyhetstidningen. If there is no news in it, it is not a Newspaper in swedish as far as I know as a swede,, it can be any kind of informal paper, scientific paper or anything else that does not contain the daily news. Maybe a bit confusing for learners if someone is reading anything,, like the tv-guide and are learning to ask if they are reading the Newspaper? Well, the tv guide maybe don't exist as in paper format anymore,, but maybe reading Gula Tidningen,, the Yellow Paper,, (not to be confused with the Yellow Pages which is a telephone catalog),, which is just an paper full of classified ads,, not a newspaper of any kind.