Hi rpsimon - I am fairly certain the answer is "no." The key resides in this PDF that is linked at the top of this online lesson: How do I set my Canvas notification preferences as a student? Specifically, this quote from page 8, where I added the bold type on my own:
Notification settings do not apply to only one course. If you are enrolled in multiple courses as a student, but you are also enrolled in a course as an instructor or equivalent role (TA, designer), please be aware that notifications from those courses will show student grades (as instructor roles do not have their own grades in such courses).
So, in theory, you would have the very least have to be enrolled as a student in each of those courses, based on this description. This makes sense, since instructors do not get notifications each time they input a grade for a student, and likely would not want to. Unless there is some hidden API call (which I am definitely not an expert in), I cannot think of a way to do this through the GUI, at least. (Perhaps there may be something within your SIS, if Canvas grades are also set there?????)
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