When it comes to what deer do or don't flee from, it is wise remember; deer are not particularly afrid of man. They are afraid of man the predator.
Zebras don't fear lions. They will graze wihtin 150-yards of a pride of dozing lions. But when one lion gets up, fixes her eyes on a zebra, watch the little stripers run. Zebras fear predator lions. And deer fear predator humans.
If you can go back far enough, maybe 1984-5, there is a super article in the Old Bow and Arrow Hunting Magazine, titled, I believe, Only The Unusual
.. It was written by a great outdoor writer and it dealt with just this subject. Fantastic article as is just about everything this guy wrote.