أَكْرَمْتُ إِكْرَامَ أَهْلِ الْحَسَبِ
I showed honor of the kind appropriate to people of noble standing.
No direct object is named, but the cognate-object expression characterizes the kind of honoring. The recipient remains unspecified, while the quality or distinction of the act is foregrounded.
Thus omitting a direct object does not mean that all complements disappear. A speaker can omit “whom?” while intentionally emphasizing “what sort of honoring?”