fix(rectification): keep choice stems visible and align overlay adopt with the engine

Walkthrough polish: fail-closed empty D9 prompts, stop asserting the next question is on screen, vary same-domain collect copy, switch to reverse-verify after adopt, and let coverage route interview without blocking can_adopt.

Co-authored-by: Cursor <cursoragent@cursor.com>

frontend/tests/rectification-server-focus.test.ts

@@ -110,11 +110,22 @@ function invalidStyleFollowup(
   };
 }
 
-async function assertInvalidChoiceSkipped(followup: MethodFollowup) {
-  const accounting = fakeAccounting({}, {
-    fallback: () => {
-      throw new Error("invalid choice frame must not call the database");
-    },
+async function assertUnrenderableChoiceFallsBackToSpoken(followup: MethodFollowup) {
+  const accounting = fakeAccounting({
+    set_agentic_rectification_conversation_focus: (_fn, args) => ({
+      id: FOCUS_ID,
+      case_id: CASE_ID,
+      question_id: args.p_question_id,
+      intent: args.p_intent,
+      target_evidence_id: null,
+      target_domain: args.p_target_domain,
+      target_kind: args.p_target_kind,
+      expected_answer_schema: args.p_expected_answer_schema,
+      status: "active",
+      asked_at: "2026-08-31T00:00:00.000Z",
+      resolved_at: null,
+      idempotent: false,
+    }),
   });
   const result = await persistServerOwnedFocus({
     accounting: accounting.client,
@@ -124,8 +135,11 @@ async function assertInvalidChoiceSkipped(followup: MethodFollowup) {
     decisionReceipt: null,
     followup,
   });
-  assert.equal(result.status, "invalid_choice_schema");
-  assert.equal(accounting.calls.length, 0);
+  assert.ok(result.status === "created" || result.status === "already_open");
+  assert.equal(result.focus?.intent, "collect_method_evidence");
+  const open = openQuestionFromPersistedFocus(result);
+  assert.equal(open?.kind, "collect_spoken");
+  assert.ok(open?.prompt?.trim());
 }
 
 function persistedFocus(questionId = "probe:education:2016") {
@@ -235,13 +249,13 @@ test("complete dynamic event options persist a server-owned focus", async () =>
   });
 });
 
-test("non-renderable varga styles and empty event family skip focus persistence", async () => {
-  await assertInvalidChoiceSkipped(invalidStyleFollowup(
+test("non-renderable varga styles and empty event family fall back to spoken collect", async () => {
+  await assertUnrenderableChoiceFallsBackToSpoken(invalidStyleFollowup(
     [{ label: "巨蟹相处主动热情", answer_class: "yes" }],
     "升学结果或学习环境出现明显变化",
     "varga_style",
   ));
-  await assertInvalidChoiceSkipped(invalidStyleFollowup(DYNAMIC_STYLE_OPTIONS, "   "));
+  await assertUnrenderableChoiceFallsBackToSpoken(invalidStyleFollowup(DYNAMIC_STYLE_OPTIONS, "   "));
 });
 
 test("does not ask an already-answered discriminator probe again", async () => {