diff --git a/crates/cos/src/budget.rs b/crates/cos/src/budget.rs
index 51b05e034d..23bcaf1af7 100644
--- a/crates/cos/src/budget.rs
+++ b/crates/cos/src/budget.rs
@@ -850,6 +850,17 @@ mod tests {
         dict.set(b"Filter".to_vec(), Object::Array(vec![Object::name("FlateDecode"), Object::name("ASCIIHexDecode")]));
         let hex = Stream::from_raw(dict, Stream::flate(Dict::new(), b"4142zz4344>").raw.to_vec());
         assert_eq!(budget.decode_with_damage(&doc, &hex, usize::MAX).ok(), Some((b"AB".to_vec(), true)));
+        // So is an earlier stage's, though the stage after it reads all it was given: a stored
+        // block of whole hex, then a block of the reserved type (RFC 1951 §3.2.3).
+        let readable = b"4142>";
+        let len = u16::try_from(readable.len()).unwrap_or_default();
+        let mut raw = vec![0x78, 0x01, 0x00];
+        raw.extend_from_slice(&len.to_le_bytes());
+        raw.extend_from_slice(&(!len).to_le_bytes());
+        raw.extend_from_slice(readable);
+        raw.push(0x07);
+        let flate_damaged = Stream::from_raw(hex.dict.clone(), raw);
+        assert_eq!(budget.decode_with_damage(&doc, &flate_damaged, usize::MAX).ok(), Some((b"AB".to_vec(), true)));
     }
 
     /// `/DecodeParms` given by reference, or a parameter given by reference in them, is read: a
diff --git a/crates/optimize/tests/optimize.rs b/crates/optimize/tests/optimize.rs
index 7250e9a0a0..2785ddac6c 100644
--- a/crates/optimize/tests/optimize.rs
+++ b/crates/optimize/tests/optimize.rs
@@ -3220,6 +3220,24 @@ fn content_damaged_partway_leaves_every_image_at_its_resolution() {
     }
 }
 
+/// One page damaged partway stops resampling for the whole document: another page drawing the same
+/// image at its full resolution, whole, doesn't get it resampled either.
+#[test]
+fn content_damaged_partway_on_one_page_leaves_the_image_another_page_draws() {
+    let mut doc = Document::new_empty();
+    let img = image(&mut doc, 720, 720, 1, false, None);
+    let damaged = page(&mut doc, &[("Im", img)], "");
+    let bad = doc.add(Object::Stream(damaged_flate(b"0 g\n", b"q 720 0 0 720 0 0 cm /Im Do Q")));
+    doc.update_dict(damaged, |d| d.set(b"Contents".to_vec(), Object::Ref(bad))).unwrap();
+    let whole = page(&mut doc, &[("Im", img)], "q 72 0 0 72 0 0 cm /Im Do Q");
+    assert_eq!(effective_resolutions(&doc, &[whole])[&img], 720.0);
+    let ppi = effective_resolutions(&doc, &[damaged, whole]).get(&img).copied().unwrap_or(f64::INFINITY);
+    assert_eq!(ppi, f64::INFINITY);
+    let r = optimize(&mut doc, &Settings::default()).unwrap();
+    assert_eq!(r.images_resampled, 0, "{r:?}");
+    assert_eq!(doc.get(img).as_dict().and_then(|d| d.int(b"Width")), Some(720));
+}
+
 /// `levels` nested forms with their own resources, the innermost drawing `img` over the unit square.
 fn nested_forms(doc: &mut Document, img: ObjRef, levels: usize) -> ObjRef {
     let mut inner = form(doc, Some(Object::Dict(resources(xobjects(&[("Im", img)])))), "/Im Do");
diff --git a/crates/redact/src/tests.rs b/crates/redact/src/tests.rs
index 8b91d1128a..428b0b3a84 100644
--- a/crates/redact/src/tests.rs
+++ b/crates/redact/src/tests.rs
@@ -130,7 +130,14 @@ fn content_with_parameters_given_by_reference_is_redacted() {
         mark(&mut doc, 0, &marked, "");
         let r = apply(&mut doc, None).unwrap();
         assert_eq!((r.marks, r.glyphs), (1, 6), "{what}");
-        assert_eq!(under(&mut reopen(&doc), 0, &marked), 0, "{what}");
+        let mut saved = reopen(&doc);
+        assert_eq!(under(&mut saved, 0, &marked), 0, "{what}");
+        // Nor is the text left in a stream the page no longer draws, read with its parameters.
+        for (r, o) in saved.scan_objects() {
+            let Object::Stream(s) = &*o else { continue };
+            let data = pdfcraft_cos::DecodeBudget::new(usize::MAX, 0).decode_with_damage(&saved, s, usize::MAX).map(|(d, _)| d).unwrap_or_default();
+            assert!(!data.windows(6).any(|w| w == b"SECRET"), "{what}: {r:?}");
+        }
     }
 }