They're not dropping handwriting altogether; that wouldn't be practical. Even TFS says it's cursive script that they're dropping. From TFA (more of a blog post):
So what about a world where cursive writing is forgotten?
What do you do when your computer is dead and you need to leave a note? The death of cursive script probably isn't the death of handwriting but the death of doing it quickly and with style. Some no doubt will want to master it just for the sake of it - like driving a stick shift.
And signatures? A poor authentication system at the best of times - good riddance.
What do we get in return for dropping the writing system that we have used for centuries?
(Emphasis mine)
Cursive is an art form, best left to those who have a reason to become competent at it (calligraphists). Rest of the world, please write clearly.