I think there is almost certainly a correlation between typing and saxophone finger technique (obviously typing wouldn't help you with embouchure, voicing, etc.). I'm a fairly fast typer (avg. ~90 wpm., max. ~130 wpm.). I can also play fairly fast on saxophone, although I struggle with voicing, altissimo, overtones, etc.
Both activities involve a very important process that is widely known (even among sax players) called muscle memory. This means that when typing, when you see/think a letter, your finger automatically goes to the right key without having to think about it. Then, you come to a point (I'd say ~40-50 wpm) where you have to start being able to recognize whole words, so your vocabulary comes into play. Rather than seeing individual letters, I type a word at a time. Larger, less used words are therefore slower to type (not considering words with repeated letters).
In my mind, typing can be a metaphor for fingering technique. Letters are notes. Words are phrases/scales. Harder/less used vocabulary is a harder/less used key. I don't see how one could deny that they are related. Of course, I have no proof, this is all based simply on my own logic and experience. I would agree with Mope that there are likely few to no fast typists with slow technique (assuming a fair amount of experience).
