Use ApiUnitTest for storage API tests (storage_api_unittest and storage_frontend_unittest).

chrome/chrome_tests_unit.gypi

 # Copyright 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.
 {
   'targets': [
     {
       # This target contains mocks and test utilities that don't belong in
       # production libraries but are used by more than one test executable.
       'target_name': 'test_support_common',
       'type': 'static_library',
@@ skipping 513 matching lines @@
         '../components/autofill/content/renderer/test_password_generation_agent.cc',
         '../components/autofill/content/renderer/test_password_generation_agent.h',
         # TODO(tfarina): Move these entries over to extensions_unittests target.
         # http://crbug.com/348066. They are duplicated here because we haven't
         # extensions_unittests running in the bots yet. Until that happens,
         # they should be kept here.
         '../extensions/browser/api/cast_channel/cast_channel_api_unittest.cc',
         '../extensions/browser/api/cast_channel/cast_socket_unittest.cc',
         '../extensions/browser/api/cast_channel/logger_unittest.cc',
         '../extensions/browser/api/power/power_api_unittest.cc',
-        '../extensions/browser/api/storage/settings_quota_unittest.cc',
-        '../extensions/browser/api/storage/settings_test_util.cc',
-        '../extensions/browser/api/storage/settings_test_util.h',
-        '../extensions/browser/api/storage/storage_api_unittest.cc',
-        '../extensions/browser/api/storage/storage_frontend_unittest.cc',
         '../extensions/browser/app_window/app_window_geometry_cache_unittest.cc',
         '../extensions/browser/error_map_unittest.cc',
         '../extensions/browser/extension_error_test_util.cc',
         '../extensions/browser/extension_error_test_util.h',
         '../extensions/browser/extension_icon_image_unittest.cc',
         '../extensions/browser/extension_protocols_unittest.cc',
         '../extensions/common/extension_l10n_util_unittest.cc',
         '../extensions/common/features/base_feature_provider_unittest.cc',
         '../extensions/common/features/complex_feature_unittest.cc',
         '../extensions/common/features/simple_feature_unittest.cc',
@@ skipping 2320 matching lines @@
               'dependencies': [
                 '../tools/xdisplaycheck/xdisplaycheck.gyp:xdisplaycheck',
               ],
             }],
           ],
         },
       ],
     }],
   ],  # 'conditions'
 }