The question is was Alexander aware of the Biblical story, or is it an example of intuitive good leadership skills?
As in: ‘I won’t slake my thirst while my men suffer on my behalf.’
Alexander’s act was greeted by roaring cheers from his men.
The Bible doesn’t record the responses of David’s men, but given his victories it was no less heartfelt!
There is, of course, the obvious parallel to draw with Jesus Christ, who "did not come to be served, but to serve, and to give his life as a ransom for many.” Matthew 20:28