Don't show the Autohide Shelf menu option when it's unsupported.

chrome/browser/ui/ash/launcher/launcher_context_menu.cc

 // Copyright (c) 2012 The Chromium Authors. All rights reserved.
 // Use of this source code is governed by a BSD-style license that can be
 // found in the LICENSE file.
 
 #include "chrome/browser/ui/ash/launcher/launcher_context_menu.h"
 
 #include <string>
 
 #include "ash/desktop_background/user_wallpaper_delegate.h"
 #include "ash/metrics/user_metrics_recorder.h"
@@ skipping 152 matching lines @@
         extension_items_->AppendExtensionItems(
             app_id, base::string16(), &index);
         AddSeparator(ui::NORMAL_SEPARATOR);
       }
     }
   }
   // In fullscreen, the launcher is either hidden or autohidden depending on
   // the type of fullscreen. Do not show the auto-hide menu item while in
   // fullscreen because it is confusing when the preference appears not to
   // apply.
-  if (!IsFullScreenMode()) {
+  if (!IsFullScreenMode() &&
+        controller_->CanUserModifyShelfAutoHideBehavior(root_window_)) {
     AddCheckItemWithStringId(MENU_AUTO_HIDE,
-                             IDS_ASH_SHELF_CONTEXT_MENU_AUTO_HIDE);
+                              IDS_ASH_SHELF_CONTEXT_MENU_AUTO_HIDE);
   }
   if (ash::ShelfWidget::ShelfAlignmentAllowed()) {
     AddSubMenuWithStringId(MENU_ALIGNMENT_MENU,
                            IDS_ASH_SHELF_CONTEXT_MENU_POSITION,
                            &shelf_alignment_menu_);
   }
 #if defined(OS_CHROMEOS)
   AddItem(MENU_CHANGE_WALLPAPER,
        l10n_util::GetStringUTF16(IDS_AURA_SET_DESKTOP_WALLPAPER));
 #endif
@@ skipping 137 matching lines @@
     case MENU_CHANGE_WALLPAPER:
       ash::Shell::GetInstance()->user_wallpaper_delegate()->
           OpenSetWallpaperPage();
       break;
 #endif
     default:
       extension_items_->ExecuteCommand(command_id, NULL,
                                        content::ContextMenuParams());
   }
 }