Depending on the age of the student, I think you could definitely let the kids decide what works best for them. In fact, I think learning how they learn best should be a main focus of middle school and early high school so that kids could be more successful in college.
However, in order to get to the point of a kid knowing what works best for them, they have to be exposed to a bunch of different styles of getting the info, for a long enough period of time to know what works for them. In other words, if a teacher introduces 4 different styles of getting the info: partially filled in notes, complete copies of notes, all notes must be written down and no notes required at all, for example with only giving the kids 1 time to use each method before they are required to decide what works best for them, the kids won't actually know and it will completely backfire. It would also require that parents be on board with the idea that students may not come home with notes from a class and still be expected to do well on a test based on the information that would have been in those notes. For most elementary and middle school students, figuring out learning techniques that work well for them is tough because it may vary for each subject, and it takes a while to fine tune that. Even most high school students have only figured out what works for some classes, but not for all.
