Interesting question and I cannot say I have ever put a bunch of thought into it. I will say that after reading your post, I thought back over the years and tried to figure out how many deer have jumped my string and at what distances they were.

I could only remember 3 cases of a deer jumping my string. In the cases I remember, the only thing in common was that the deer was alert/uneasy before the shot. The shot distances were (best I can remember) 15ish yards, 25ish yards, and 35ish yards. It has always been my belief that if a deer is not alert, you are shooting a fairly quiet bow, and at a decent speed, there is little chance of them jumping the string to begin with.