Both constructions can point to the same person, and straightforward examples may admit more than one grammatical analysis.
جَاءَ أَبُو حَفْصٍ عُمَرُ.
Here the text calls «عُمَرُ» ʿaṭf al-bayān; some analyses of such forms can treat the second term as whole-for-whole badal.
In exposition, ʿaṭf al-bayān clarifies the first label; in badal the second item is the primary target of the predication.
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ʿAṭf al-Bayān: Definition, Examples, and Contrast with Badal
Both constructions can point to the same person, and straightforward examples may admit more than one grammatical analysis.
جَاءَ أَبُو حَفْصٍ عُمَرُ.
Here the text calls «عُمَرُ» ʿaṭf al-bayān; some analyses of such forms can treat the second term as whole-for-whole badal.
In exposition, ʿaṭf al-bayān clarifies the first label; in badal the second item is the primary target of the predication.