I think it would be more prudent to call us storytellers even though we don't always verbalize our stories. (I still wish that class in college was in a time slot I could have taken.)
The craft of telling stories is what motivates us, not the process of how we do it. Heck I know writers that still do it longhand and then copy it onto the computer to edit. My wrist hurts just thinking about that.
So what do you think of the term typers? Am I right or is my ten year old right? (She'll be reading your comments.)