Talaqqi al-ʿulamaʾ bi-l-qabul does not merely mean popularity among ordinary readers or wide circulation of copies. It concerns the reception of the collections by knowledgeable specialists who recognize their scholarly standing and methods of authentication.
Two aspects matter: the collective force of specialist assessment and the possibility that a recognized critic has made a technical objection to a particular narration. General acceptance of a collection is not synonymous with the absence of every specific critical question.
Example: A book is broadly accepted as highly reliable, yet an expert raises a particular defect in one chain. That individual narration cannot simply be assigned the special conclusion without examining the objection.