I'll kindly disagree here, because I both type and write a lot. Yes, typing is faster than writing, but that's not the point of writing.

Writing's speed and correction limits makes me think and filter before I actually write. This allows me to form clearer thoughts in less time. I arrive to a better place, faster.

Also, neither writing nor typing cramps my hands, and I do both of them for hours if I need to. That's interesting.

I'm slowly collecting research focusing on differences on typing and writing, but the landscape is barren. I'll publish a list when I have sufficient resources at hand.