Like Peter, Saul refers to the Lord as THE Lord and YOUR Lord, he never says that I have disobeyed MY Lord. The telling thing to me is in verse 30, when Saul pleads with Samuel after he has been told that the kingdom has been torn from him. At that point he still does not personalize his relationship with God. His request is to be allowed to worship Samuel's God.
Our triune God is not some abstract, distant, esoteric concept. He is intensely and personally engaged in our lives as we saw yesterday in Psalm 139. When we disobey, He is personally offended, this is not like breaking some impersonal law, like speeding, it is a personal affront. Saul's replacement, David, got that. Contrast David's response to his sin in Psalm 51 with Saul's response here.
When we disobey God, it is personal.