Only been on one elephant hunt so far. In my case we approached a group of about 40, only bull, elephants, to pick out the oldest from between his two Askari. Although having elephants left, right and in front of us, some only 15-20m away, not one made a move towards us after my initial shot. In fact, by the time I fired my insurance shots, the whole group was over a km away in haste.
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Showing only a part of the group in this picture, there were more out of frame to the left.
As you can see, after the shot, elephants were erupting from all around, but all running as fast as they can away from us: