Change behaivor to decide whether a search engine should be shown in the default list

chrome/browser/extensions/api/settings_overrides/settings_overrides_api.cc

 // Copyright 2013 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/extensions/api/settings_overrides/settings_overrides_api.h"
 
 #include <stddef.h>
 #include <utility>
 
 #include "base/lazy_instance.h"
@@ skipping 259 matching lines @@
   DCHECK(settings->search_engine);
   auto info =
       base::MakeUnique<TemplateURL::AssociatedExtensionInfo>(extension->id());
   info->wants_to_be_default_engine = settings->search_engine->is_default;
 
   ExtensionPrefs* prefs = ExtensionPrefs::Get(profile_);
   info->install_time = prefs->GetInstallTime(extension->id());
   std::string install_parameter = prefs->GetInstallParam(extension->id());
   std::unique_ptr<TemplateURLData> data = ConvertSearchProvider(
       profile_->GetPrefs(), *settings->search_engine, install_parameter);
-  data->show_in_default_list = info->wants_to_be_default_engine;
   auto turl = base::MakeUnique<TemplateURL>(
       *data, TemplateURL::NORMAL_CONTROLLED_BY_EXTENSION);
 
   url_service_->AddExtensionControlledTURL(std::move(turl), std::move(info));
 }
 
 template <>
 void BrowserContextKeyedAPIFactory<
     SettingsOverridesAPI>::DeclareFactoryDependencies() {
   DependsOn(ExtensionPrefsFactory::GetInstance());
   DependsOn(PreferenceAPI::GetFactoryInstance());
   DependsOn(TemplateURLServiceFactory::GetInstance());
 }
 
 }  // namespace extensions