MD Settings: Fix advanced sync page reload.

chrome/browser/resources/settings/people_page/people_page.html

Index: chrome/browser/resources/settings/people_page/people_page.html
diff --git a/chrome/browser/resources/settings/people_page/people_page.html b/chrome/browser/resources/settings/people_page/people_page.html
index 13b2f0a167460beee9f9b2e587217266ba58a8fa..4d961520476e7cfbcbbc025472bbdc9a06260cd2 100644
--- a/chrome/browser/resources/settings/people_page/people_page.html
+++ b/chrome/browser/resources/settings/people_page/people_page.html
@@ -239,14 +239,14 @@
           </div>
         </template>
       </neon-animatable>
-      <template is="dom-if" if="[[isAdvancedSyncSettingsVisible_(syncStatus)]]">
-        <template is="dom-if" name="sync">
-          <settings-subpage
-              associated-control="[[$$('#customize-sync')]]"
-              page-title="$i18n{syncPageTitle}">
-            <settings-sync-page></settings-sync-page>
-          </settings-subpage>
-        </template>
+      <template is="dom-if" name="sync"
+          no-search$="[[!isAdvancedSyncSettingsVisible_(syncStatus)]]">
+        <settings-subpage
+            associated-control="[[$$('#customize-sync')]]"
+            page-title="$i18n{syncPageTitle}"
+            no-search$="[[!isAdvancedSyncSettingsVisible_(syncStatus)]]">
+          <settings-sync-page></settings-sync-page>
+        </settings-subpage>
       </template>
 <if expr="chromeos">
       <template is="dom-if" if="[[quickUnlockEnabled_]]">