[Reaction to One Year Bible's May 28-30 readings]
David ended up leading a life of conflict. He started out as a rural shepherd, but soon became the target of Israel's corrupt King Saul. Although he never stopped loving Saul, he ultimately replaced him as king. Today's reading follows the peak of David's rule. He has been betrayed by one of his son's, Absalom, and finds himself once again attacking those he loves. Perhaps the weight of this causes David to accept the accusation from one of Saul's family here. Notice where David experiences his lament.
I see similar overtones in Jesus' last hours. His exchange with Pilate seems to contain a resignation not unlike David's. Link.