Has the computer hurt legible handwriting?

Has the digital age spawned a generation of atrocious handwriting? When I have to write something out and I believe it would be hard to read to those who had to read it I often get told how well my penmanship is and I don’t think it was that great at all. And I wonder what handwriting they are use to seeing? I guess when I was in school our work for the most part had to be written out. Some kids had typewriters but they were not easy to use as many of us could not type better than “hunt and peck” we did not have computers and text capable phones that forced us to type everyday. Often it was quicker writing your work than typing it. Also I remember way back in grade school we have lesson on handwriting, I suspect handwriting lessons today takes a back seat to typing lessons or keyboarding since that is the mode of communication by choice these days.

What do you think, is the computer killing good and legible handwriting? Do they even bother with handwriting classes in school anymore?