I mean the process looks very similar even if the physical motions are different. That isn't the point, and honestly, I know you know that.
Typing is nothing like writing letters. Fine versus gross motor, static hand positions versus moving left to right, top to bottom.
More importantly, "writing" is commonly understood to mean both the act of forming letters and the act of authoring written content. You write in block or cursive, you write novels.
This idea that drawing is somehow permanently, literally linked to only the physical act and not the creative act? It makes no sense.