Death and life after a series of three is always a messianic prophesy, as we see in 2nd Kings 13. Elisha doesn’t know it yet but he isn’t just speaking a prophesy, his death will be a part of the prophesy. The prophesy is the death and resurrection of the nation of Israel itself.
In 2nd Kings 10, we will see the difference between Yehu (Jehu) and Yehonadab (Jehonadab) the son of Rechab. Yehu respected Eliyahu (Elijah) and Elisha and he hated the Baal, but he did not respect and love the true God. Yehonadab the son of Rechab understood and loved God. It’s useful to see what God respects in a man and what he does not because God never changes, we do.
It was Ahab’s house that was asking for peace, but they were asking for physical peace, not God’s peace. God does not like the world’s definition of peace, which is, “Leave me alone! I enjoy my miserable life.” When someone is at war with God and they are about to see God’s sword coming down on them, they will ask for “peace.” But in this account, they were lying.
Just as God didn’t let the prophet Eliyahu (Elijah) quit from the mission, God doesn’t want us to become discouraged and quit our tasks.