I felt this was more common in elementary and middle school, but since high school and well I to college I barely every find myself writing the date on papers. But yeah, I hated reworking the muscle memory for the first couple weeks of the year.
I can't imagine anything higher than high school enforcing hand written papers over typed. Even when I was in high school, back before smartphones and when most people didn't have a computer, most of my teachers required things to be typed up.