I honestly think that typing on computing devices and writing on paper are conceptually two separate ideas. And should have a finely measured difference in name.
Programming is often called 'writing a program' and it probably is very similar. There is something about typing on a computer that encourages me to forget what I typed in. Typing on a kb and monitor is like writing in symbolic language to me, even if the words I'm typing are in natural language.
Writing on paper permenantly marks the paper and that makes a massive difference to my mind. It's stored, referrable and my body can also physically destroy it. The muscle linkages to make the shape of a glyph or character with my pen on paper is concrete.