What strikes me here is that the author records Saul's continued desire to win YHWH's affection and approval. Saul really is a tragic character.
Interesting note: a 1 Sam. 22:3-4 we have the following:
From there David went to Mizpah in Moab and said to the king of Moab, “Would you let my father and mother come and stay with you until I learn what God will do for me?” So he left them with the king of Moab, and they stayed with him as long as David was in the stronghold.Recall that the Book of Ruth was likely written to explain David's Moabite roots. This may have been another attempt.