I completely understand what you are saying. But, personally, as the hand position shows in Fred's picture, I would be holding my bow in a negative cant position. Not saying I'm doing it right or wrong. Just wondering if others people angle their hand the same as Fred. Another thing I would add is that we have to assume what the bow position would be in Fred's picture.
I'm not a Fred basher by any means, just a little confused.
Below is a pic of my hand position with a slight bow cant. Keep in mind that it was a little tough holding this position and taking the picture, but its about right. The camera angle may be a little obsure as can be seen from the large size of the index finger to other fingers. Back of the hand is about parallel to the string and the string crosses the fingers perpendicular. The string runs across the first joint of each finger.
http://img.photobucket.com/albums/v166/BobCo/101_0255.jpg This picture shows the string position across the fingers using hand angle method as far as I can interpret it as Fred's article. Personally, I have a lot more tension in my hand mainly caused from the fingers:
http://img.photobucket.com/albums/v166/BobCo/101_0256.jpg Personally, I find I can turn my hand angle in many positions without tension in my wrist or back of hand. The coffee cup example is fine, but there are many other example as well, and it really depends on what you are reaching for. For example, I just pulled out the shelf that houses my keyboard under my desk (palms up). Did it a few times and didn't find any more tension from hand angle then I would pick up a coffee up.
In the second picture, I would personally have a hard time hooking the string as I would a paint can without tension.