Final answer:
The statement about Alexander the Great that is most supported is that he and his men have sustained serious battle wounds, as evidenced by the description of his exhaustion and injuries.
Step-by-step explanation:
The statement most strongly supported by the provided speech about Alexander the Great and his men is that both Alexander and his men have suffered serious wounds in battle. The text indicates that Alexander was exhausted and plagued by injuries from the many battles he had fought. This evidence points to the hardships of war that both he and his men endured.