diff -u b/core/lib/Drupal/Core/Extension/ThemeHandler.php b/core/lib/Drupal/Core/Extension/ThemeHandler.php
--- b/core/lib/Drupal/Core/Extension/ThemeHandler.php
+++ b/core/lib/Drupal/Core/Extension/ThemeHandler.php
@@ -269,8 +269,8 @@
         'page_top' => 'Page top',
         'page_bottom' => 'Page bottom',
         'breadcrumb' => 'Breadcrumb',
-        'tabs' => 'Page tabs',
-        'actions' => 'Page actions',
+        'tabs' => 'Tabs',
+        'actions' => 'Local actions',
       ),
       'description' => '',
       'features' => $this->defaultFeatures,
diff -u b/core/lib/Drupal/Core/Menu/LocalActionManager.php b/core/lib/Drupal/Core/Menu/LocalActionManager.php
--- b/core/lib/Drupal/Core/Menu/LocalActionManager.php
+++ b/core/lib/Drupal/Core/Menu/LocalActionManager.php
@@ -205,6 +205,7 @@
         '#access' => $access->isAllowed(),
         '#weight' => $plugin->getWeight(),
       );
+      // @todo Remove this after https://www.drupal.org/node/2487600 has landed.
       $this->renderer->addCacheableDependency($links, $access);
     }
 
diff -u b/core/lib/Drupal/Core/Menu/LocalTaskManager.php b/core/lib/Drupal/Core/Menu/LocalTaskManager.php
--- b/core/lib/Drupal/Core/Menu/LocalTaskManager.php
+++ b/core/lib/Drupal/Core/Menu/LocalTaskManager.php
@@ -332,8 +332,10 @@
             '#link' => $link,
             '#active' => $active,
             '#weight' => $child->getWeight(),
-            '#access' => $access,
+            '#access' => $access->isAllowed(),
           );
+          // @todo Remove this after https://www.drupal.org/node/2487600 has
+          //   landed.
           $this->renderer->addCacheableDependency($build, $access);
         }
       }
diff -u b/core/modules/system/src/Plugin/Block/SystemLocalActionsBlock.php b/core/modules/system/src/Plugin/Block/SystemLocalActionsBlock.php
--- b/core/modules/system/src/Plugin/Block/SystemLocalActionsBlock.php
+++ b/core/modules/system/src/Plugin/Block/SystemLocalActionsBlock.php
@@ -39,7 +39,7 @@
   protected $routeMatch;
 
   /**
-   * Creates a SystemPageActionsBlock instance.
+   * Creates a SystemLocalActionsBlock instance.
    *
    * @param array $configuration
    *   A configuration array containing information about the plugin instance.
@@ -103,7 +103,7 @@
 
     // The "Local actions" block is never cacheable because hooks creating local
     // actions don't provide cacheability metadata.
-    // @todo Remove after local action hooks provide cacheability metadata.
+    // @todo Remove after https://www.drupal.org/node/2511508 has landed.
     $form['cache']['#disabled'] = TRUE;
     $form['cache']['#description'] = $this->t('This block is never cacheable.');
     $form['cache']['max_age']['#value'] = 0;
@@ -115,7 +115,7 @@
    * {@inheritdoc}
    */
   public function getCacheMaxAge() {
-    // @todo Remove after local action hooks provide cacheability metadata.
+    // @todo Remove after https://www.drupal.org/node/2511508 has landed.
     return 0;
   }
 
diff -u b/core/modules/system/src/Plugin/Block/SystemTabsBlock.php b/core/modules/system/src/Plugin/Block/SystemTabsBlock.php
--- b/core/modules/system/src/Plugin/Block/SystemTabsBlock.php
+++ b/core/modules/system/src/Plugin/Block/SystemTabsBlock.php
@@ -83,7 +83,7 @@
 
     // The "Page actions" block is never cacheable because of hooks creating
     // local tasks doesn't provide cacheability metadata.
-    // @todo Remove after local task hooks provide cacheability metadata.
+    // @todo Remove after https://www.drupal.org/node/2511508 has landed.
     $form['cache']['#disabled'] = TRUE;
     $form['cache']['#description'] = $this->t('This block is never cacheable.');
     $form['cache']['max_age']['#value'] = 0;
@@ -95,7 +95,7 @@
    * {@inheritdoc}
    */
   public function getCacheMaxAge() {
-    // @todo Remove after local task hooks provide cacheability metadata.
+    // @todo Remove after https://www.drupal.org/node/2511508 has landed.
     return 0;
   }
 
@@ -116,7 +116,7 @@
     $form['levels'] = array(
       '#type' => 'details',
       '#title' => $this->t('Shown tabs'),
-      '#description' => $this->t('Select local tasks being shown in the block'),
+      '#description' => $this->t('Select tabs being shown in the block'),
       // Open if not set to defaults.
       '#open' => $defaults['primary'] !== $config['primary'] || $defaults['secondary'] !== $config['secondary'],
     );
diff -u b/core/modules/system/src/Tests/Menu/LocalTasksTest.php b/core/modules/system/src/Tests/Menu/LocalTasksTest.php
--- b/core/modules/system/src/Tests/Menu/LocalTasksTest.php
+++ b/core/modules/system/src/Tests/Menu/LocalTasksTest.php
@@ -171,7 +171,7 @@
   }
 
   /**
-   * Tests that local task blocks are configurable to print a specific level.
+   * Tests that local task blocks are configurable to show a specific level.
    */
   public function testLocalTaskBlock() {
     // Remove the default block and create a new one.
@@ -192,7 +192,7 @@
       ['menu_test.local_task_test_tasks_settings', []],
     ]);
 
-    // Verify that local tasks in the second doesn't appear.
+    // Verify that local tasks in the second level doesn't appear.
     $this->assertNoLocalTasks(1);
 
     $this->sut->delete();
diff -u b/core/themes/classy/templates/block/block--system-local-actions-block.html.twig b/core/themes/classy/templates/block/block--system-local-actions-block.html.twig
--- b/core/themes/classy/templates/block/block--system-local-actions-block.html.twig
+++ b/core/themes/classy/templates/block/block--system-local-actions-block.html.twig
@@ -2,7 +2,7 @@
 {#
 /**
  * @file
- * Default theme implementation for page local actions.
+ * Default theme implementation for local actions.
  *
  * Available variables:
  * - action_links: Actions local to the page, such as "Add menu" on the menu
diff -u b/core/themes/classy/templates/block/block--system-tabs-block.html.twig b/core/themes/classy/templates/block/block--system-tabs-block.html.twig
--- b/core/themes/classy/templates/block/block--system-tabs-block.html.twig
+++ b/core/themes/classy/templates/block/block--system-tabs-block.html.twig
@@ -2,10 +2,10 @@
 {#
 /**
  * @file
- * Default theme implementation for page tabs.
+ * Default theme implementation for tabs.
  *
  * Available variables:
- * - tabs: The Tabs linking to any sub-pages beneath the current page (e.g., the
+ * - tabs: The tabs linking to any sub-pages beneath the current page (e.g., the
  *   view and edit tabs when displaying a node).
  *
  * @ingroup themeable