I work in publishing, I type probably about 60-80 WPM, but I don’t use the right keys. I feel a slight pang of guilt about this when my desk is situated near someone who is a very fast “proper” typist, but all other times I manage to get by just fine.
Everything worth doing is worth doing well, yes.
Correctly? I like to think so.
We’ll see though. I have written countless term papers, research papers, public notices, classified ads, poems, stories, letters, emails, discussion board posts, blogs, essays and notes to neighbors, all without the skill of typing properly. But one should learn, right?

