diff --git a/e2e/tests/journeys.spec.ts b/e2e/tests/journeys.spec.ts
index fafc79c..d850ab5 100644
--- a/e2e/tests/journeys.spec.ts
+++ b/e2e/tests/journeys.spec.ts
@@ -3396,3 +3396,31 @@ test('a selective school is flagged Selective, on its page and in search', async
   const tags = await rowTags(page, school);
   await expect(tags.getByText('Selective', { exact: true })).toBeVisible();
 });
+
+/*
+ * The Admissions section repeated the search rows' old tag logic: "selective"
+ * matched inside "Non-selective", and "None" counted as a faith, so Burntwood
+ * read "this school has a faith-based admissions priority (None)". The
+ * Selective half stayed hidden only because the school page's API did not
+ * send admissions_policy. Data-invariant: the school comes from the API, and
+ * must have an Admissions section to read.
+ */
+test('a non-selective school with no faith makes neither claim in its Admissions section', async ({ page }) => {
+  const res = await page.request.get(
+    '/api/schools?search=school&phase=secondary&faith=none&admissions_policy=non-selective&page_size=20');
+  expect(res.ok()).toBeTruthy();
+  let urn: number | null = null;
+  for (const s of ((await res.json()).schools ?? []).slice(0, 8)) {
+    if (s.religious_denomination !== 'None') continue;
+    const detail = await (await page.request.get(`/api/schools/${s.urn}`)).json();
+    if (detail.admissions) { urn = s.urn; break; }
+  }
+  test.skip(urn == null, 'no non-selective, no-faith secondary with admissions data here');
+
+  await page.goto(`/school/${urn}`);
+  const admissions = page.locator('section#admissions');
+  await expect(admissions).toBeVisible({ timeout: 15_000 });
+  await expect(admissions.getByText('Selective:', { exact: true })).toHaveCount(0);
+  await expect(admissions.getByText('Faith priority:', { exact: true })).toHaveCount(0);
+  await expect(admissions.getByText(/\(None\)/)).toHaveCount(0);
+});