wired — count read from the live DB at snapshot time   join — a demand of the study_id join (registration, package linkage), not engine code   gate — engine-enforced verdict, evaluated only for studies that reach it

ghost — designed, not yet wired  ·  unit: one study = one study_id  ·  the DB stores no status column; verdicts are computed, never persisted

the convergence is an intersection — the same studies must satisfy both tracks; counts do not add across them