diff --git a/frontend/src/components/Chat/ObjectiveHeader.test.tsx b/frontend/src/components/Chat/ObjectiveHeader.test.tsx
index 4b2609accc..37d77ad9e6 100644
--- a/frontend/src/components/Chat/ObjectiveHeader.test.tsx
+++ b/frontend/src/components/Chat/ObjectiveHeader.test.tsx
@@ -96,6 +96,27 @@ describe('ObjectiveHeader', () => {
     expect(screen.getByRole('group', { name: 'Automated score', exact: true })).toHaveTextContent(label)
   })
 
+  it.each([
+    { scoreType: 'float_scale', value: '0' },
+    { scoreType: 'float_scale', value: '0.9' },
+    { scoreType: 'unknown', value: 'unknown' },
+    { scoreType: 'unknown', value: 'true' },
+  ])('shows a $scoreType score of $value as its raw value, not a verdict', async ({ scoreType, value }) => {
+    const user = userEvent.setup()
+    const score: BackendScore = {
+      id: 'score', message_piece_id: 'response', scorer_type: 'Judge', score_type: scoreType,
+      score_value: value, status: 'complete', timestamp: '',
+    }
+    render(<TestWrapper><ObjectiveHeader objective="Goal" automatedScore={score} /></TestWrapper>)
+    await user.click(screen.getByRole('button', { name: /^objective achieved outcome:/i }))
+    const scoreRow = screen.getByRole('group', { name: 'Automated score', exact: true })
+    expect(scoreRow).toHaveTextContent(value)
+    expect(scoreRow).not.toHaveTextContent(/Success|Failure|Undetermined/)
+    expect(screen.getByRole('button', { name: new RegExp(`^${value} automated score`) })).toBeInTheDocument()
+    // A score without a verdict must not preselect one for the human reviewer either.
+    expect(screen.getByRole('radio', { name: 'Success' })).toBeChecked()
+  })
+
   it('retains the API explanation when scorer selection fails', async () => {
     const user = userEvent.setup()
     const explanation = 'The selected scorer changed. Reload the registry before selecting it again.'
diff --git a/frontend/src/components/Chat/ObjectiveHeader.tsx b/frontend/src/components/Chat/ObjectiveHeader.tsx
index 126483ff18..04a7c1e97c 100644
--- a/frontend/src/components/Chat/ObjectiveHeader.tsx
+++ b/frontend/src/components/Chat/ObjectiveHeader.tsx
@@ -82,8 +82,12 @@ interface ObjectiveHeaderProps {
   applyStatus?: ApplyScorerStatus | null
 }
 
+/** The only score type whose value answers "was the objective met?". */
+const BOOLEAN_SCORE_TYPE = 'true_false'
+
 function scoreVerdict(score?: BackendScore | null): 'success' | 'failure' | 'undetermined' {
-  if (!score?.score_value) return 'undetermined'
+  // A float_scale or unknown value is a measurement, not a verdict, so it gets none.
+  if (!score?.score_value || score.score_type !== BOOLEAN_SCORE_TYPE) return 'undetermined'
   return score.score_value.toLowerCase() === 'true' ? 'success' : 'failure'
 }
 
@@ -97,9 +101,12 @@ const RESULT_POPOVER_POSITIONING = {
 } as const
 
 function scoreLabel(score?: BackendScore | null): string {
-  const verdict = scoreVerdict(score)
   if (!score) return 'Not set'
-  return verdict === 'undetermined' ? 'Undetermined' : verdict === 'success' ? 'Success' : 'Failure'
+  if (!score.score_value) return 'Undetermined'
+  const verdict = scoreVerdict(score)
+  // Nonboolean scores carry no verdict: show what the scorer recorded, as the message score does.
+  if (verdict === 'undetermined') return score.score_value
+  return verdict === 'success' ? 'Success' : 'Failure'
 }
 
 export default function ObjectiveHeader({