In the cave-of-Ḥirā’ example, distinguish two things:
• What the report describes: the Prophet ﷺ worshipped in the cave of Ḥirā’.
• The explanatory phrase: وَهُوَ التَّعَبُّدُ, meaning worship.
An explanation does not become the Prophet’s own statement merely because its meaning is correct. Here the phrase explains a word; it does not convey a separate Prophetic statement.