Let him not see my face - We are not told why David adopted this half-measure. Possibly Bath-sheba’s influence may have been exerted to keep Absalom in disgrace for the sake of Solomon.
Related Commentaries of 2 Samuel 14:24
2 Samuel 14:24
24 And the king said, Let him turn to his own house, and let him not see my face. So Absalom returned to his own house, and saw not the king's face.