It’s not that David is unrepentant of the harm he has caused Bathsheba, Uriah, and countless others. The point is that David is repenting of the sin that lies beneath these actions, the sin all of us would rather avoid. He names this sin right after in verse 5: “I was brought forth in iniquity, and in sin did my mother conceive me.”
Friendship in the Old Testament: David and Jonathan
Jonathan saw in David a reflection of who he himself was. This recognition pulled him outside himself and bound him to another.