A well-sourced chain can establish that a record was made without establishing the underlying biological or economic relationship. Genealogy's source hierarchy is a discipline for naming that gap.
The absence of a find can mean nonexistence, nondeposition, nonrecovery, destruction or misclassification. Site records and document history built separate checks because a blank field cannot tell you which one happened.
A growing catalogue can mean that more records were described, not that more underlying material exists. Archives and documentary editions keep these counts apart because the object being counted changes with the record system.