I view a printer's output as the 'reference' hand-writing, and 99.9% of the time papers are turned in using a printed, non-cursive font. So why should I write in cursive? But yes, of course I can type faster than I can write. I don't hold my pencil properly but I do have very good hand-writing if I try.
I do think what they say about not needing to write with your hand is ridiculous. Do they seriously all have tablet PCs/notebooks for taking notes? What if they didn't have a PC with them? Would they be doomed? I don't care if you don't hand-write much, but if you forget how to simply print (non-cursive) then you've got issues.