fix(web): keep rectification sessions listed and persist chats on first send

Empty-consultation filtering is now session_type scoped so birth-time rows stay in the sidebar. Subtitles use updatedAt with sort/group/cursor. New chats stay local until the first send.

frontend/tests/session-groups.test.ts

@@ -8,6 +8,9 @@ import {
   recencyKeyFor,
   sortSessions,
 } from "../src/lib/session-groups.ts";
+import { sessionSidebarSubtitle } from "../src/lib/session-sidebar-row.ts";
+import { shanghaiDateTimeLabel } from "../src/lib/session-shanghai-clock.ts";
+import type { ChatSession } from "../src/lib/home-types.ts";
 
 function session(id: string, updatedAt: number, pinned = false) {
   return { id, pinned, updatedAt };
@@ -72,6 +75,44 @@ test("mergeSessionPage keeps the local row and skips a duplicate id", () => {
   assert.equal(mergeSessionPage([local], incoming)[0]?.updatedAt, 900);
 });
 
+test("sidebar subtitle follows updatedAt so the visible clock matches sortSessions", () => {
+  const createdEarly = Date.parse("2026-09-07T05:42:00.000Z");
+  const activeLate = Date.parse("2026-09-16T10:01:00.000Z");
+  const mid = Date.parse("2026-09-17T14:53:00.000Z");
+  const newest = Date.parse("2026-09-18T00:01:00.000Z");
+  function row(id: string, createdAt: number, updatedAt: number): ChatSession {
+    return {
+      id,
+      title: id,
+      theme: "general",
+      modelId: "m",
+      messages: [{ role: "user", text: "问一句" }],
+      createdAt,
+      updatedAt,
+      sessionType: "consultation",
+      rectificationCaseId: null,
+      chartProfileId: null,
+      chartProfileName: null,
+      chartProfileRole: null,
+      pinned: false,
+      archivedAt: null,
+      messagesHydrated: true,
+    };
+  }
+  const earlyCreatedLateActive = row("early-created", createdEarly, activeLate);
+  const sessions = [
+    earlyCreatedLateActive,
+    row("mid", mid, mid),
+    row("newest", newest, newest),
+  ];
+  assert.deepEqual(sortSessions(sessions).map((item) => item.id), ["newest", "mid", "early-created"]);
+  const clocks = sortSessions(sessions).map((item) => sessionSidebarSubtitle(item));
+  const expected = sortSessions(sessions).map((item) => shanghaiDateTimeLabel(new Date(item.updatedAt)));
+  assert.deepEqual(clocks, expected);
+  assert.equal(sessionSidebarSubtitle(earlyCreatedLateActive), shanghaiDateTimeLabel(new Date(activeLate)));
+  assert.notEqual(sessionSidebarSubtitle(earlyCreatedLateActive), shanghaiDateTimeLabel(new Date(createdEarly)));
+});
+
 test("beginSessionPageLoad only starts one in-flight request", () => {
   const inFlight = { current: false };
   assert.equal(beginSessionPageLoad(inFlight, "cursor"), true);