جَاءَ زَيْدٌ وَعَمْرٌو.
“Zayd and ʿAmr came.” «عَمْرٌو» is coordinated by wāw; a second person is mentioned.
جَاءَ أَبُو حَفْصٍ عُمَرُ.
“Abū Ḥafṣ, namely ʿUmar, came.” «عُمَرُ» clarifies the same person without a conjunction.
The term ʿaṭf al-bayān does not require a wāw.