Let our lord now command your servants who are before you, to seek out a man who is a skillful player on the harp: and it shall happen, when the evil spirit from God is on you, that he shall play with his hand, and you shall be well.
Actually, David had a great admiration for Saul. Of course just a young boy, and he was at that hero age, and Saul, big, tall, handsome fellow became sort of a hero in David's eyes. David always respected Saul right to his death and even after his death. David never lost his respect for this man.