I'm definitely faster at typing than writing though — especially so when it comes to something like code that often requires in-place editing, shuffling statements around etc.
I do like to work with paper & pen but moreso for ideation, diagramming, or todo lists rather than more "structured" inputs.
They have in the form of monkeytype wpm scores. I think these are generally based on an a-z lower case test, so I doubt it's a realistic indicator of someone's actual typing speed.
Apparently not something that anyone cares as business opportunity, because most likely most folks wouldn't pay for it, sadly.