Anna, if you know a way to save every student then it should certainly show in your classes, right? Our district has a size limit (3rd grade) of 18 students. I can attest that the teacher in my son's class worked very hard and did everything you just stated. I almost wanted to add the website he uses to report test scores to parents to my spam filter because of the number of results coming to my email. There are literally ten's of pages of results for just one year of school. I think it was overdone, but still, closer to what you suggest than not. And he tallied those results and used those results to formulate lesson plans. Naturally, when I would meet him on parent conference days I was very curious (I told him pedagogy is like a weird hobby of mine) and he was very generous in sharing with me his techniques.
Did he get results? Yes he did.