Firstly, two of the Vancouver criteria are silly. The third doesnt make sense. Most gradute students in my experience do not have the authority to approve the p

Firstly, two of the Vancouver criteria are silly. The third doesnt make sense. Most gradute students in my experience do not have the authority to approve the published version. Does this mean grad students cant be paper authors? They're the ones doing most of the work. The fourth criterion is meaningless. Your name is on there that means you take responsibility. In any case if you're a reputed professor no one is questioning the paper. Secondly, the four criteria are easy to meet for professors who shouldnt be authors. They "guide" the student which can be construed as playing a part in design, look over the manuscript, approve it, and take responsibility. But their contribution was probably of the order of a few percent of the total effort. If you have enough researchers under you, it's not super hard to meet those and be a hyperprolific publisher.