One thing the computer does is make it unimportant to have beautiful handwriting that will give a good impression. [Almost] any time you're trying to do that, you're printing, these days. Within the education system, it still matters to be able to write fast and legibly by an arbitrary other, but exams are the *only* time that is important. Any time you need to take notes faster than you can handwrite, you take your laptop and/or a sound recording device. For your own notes or working or whatever your work only needs to be legible by you.
As someone marking exams in a university I see a wide range of handwriting. Lots of students print: some write entirely in capitals! My conscious views are that I don't care at all, provided the writing is legible. I have seen research that says that handwriting matters in the sense that e.g. examiners have different expectations if the handwriting is stereotypically female. I frankly don't believe that this has an effect in my subject, and tend to suspect it of doing so in essay-based subjects rather, but I could be wrong.
Personally I don't really expect compulsorily handwritten university exams to last another 10 years, although I'm getting slightly twitchy, as I might have said the same 5 years ago. (What I'd expect is that typing will become an option, with handwriting and mixtures allowed.) We run plenty of computer-based exams; fairly soon someone's going to ask why they can't all be done on computers. It'll probably take longer, though, before typing school exams becomes a normal option.
