diff --git a/scripts/generate_pack.py b/scripts/generate_pack.py
index 66b507e1d..bfa698e85 100644
--- a/scripts/generate_pack.py
+++ b/scripts/generate_pack.py
@@ -4515,11 +4515,7 @@ def _manifest_core_entries(
             ):
                 systems = _extra_system_ids(fe)
                 record_omission(
-                    full_dest,
-                    fe,
-                    systems[0] if systems else "",
-                    status,
-                    [source_emu] if source_emu else [],
+                    full_dest, fe, systems[0] if systems else "", status, _claim_cores(fe),
                 )
             continue
 
@@ -4554,7 +4550,7 @@ def _manifest_core_entries(
                 systems = _extra_system_ids(fe)
                 record_omission(
                     full_dest, fe, systems[0] if systems else "", "not_found",
-                    [source_emu] if source_emu else [],
+                    _claim_cores(fe),
                 )
             if file_size:
                 pack_only_sizes.append(file_size)
@@ -4668,6 +4664,17 @@ def _manifest_selection(
     ), held
 
 
+def _claim_cores(fe: dict) -> list[str]:
+    """The cores an extra and the claims folded onto it name: an omission
+    names every core reading the file, as a list built for one of them
+    would."""
+    names = {
+        claim.get("source_profile") or claim.get("source_emulator", "")
+        for claim in (fe, *fe.get("other_claims", []))
+    }
+    return sorted(name for name in names if name)
+
+
 def _record_absent(
     absent: list[dict],
     config: dict,
diff --git a/tests/test_audit_regressions.py b/tests/test_audit_regressions.py
index aa6cbf37a..a6b0a7aab 100644
--- a/tests/test_audit_regressions.py
+++ b/tests/test_audit_regressions.py
@@ -7824,6 +7824,15 @@ class EveryReaderOfACoreFileIsNamed(unittest.TestCase):
             {"profile": "drastic-legacy", "bundled": True}]}
         self.assertEqual(_split_bundled_claims([alone]), [alone])
 
+    def test_a_held_file_out_of_reach_names_every_core_reading_it(self):
+        """harm1.wad is a release asset: a checkout without it omits the file,
+        and the omission named gzdoom alone where lzdoom reads it too."""
+        from generate_pack import _claim_cores
+
+        extra = {"source_profile": "gzdoom", "other_claims": [
+            {"source_profile": "uzdoom"}, {"source_profile": "lzdoom"}]}
+        self.assertEqual(_claim_cores(extra), ["gzdoom", "lzdoom", "uzdoom"])
+
     def test_a_missing_file_names_every_core_reading_it(self):
         from generate_pack import _record_absent