diff -u b/core/modules/media_entity/media_entity.tokens.inc b/core/modules/media_entity/media_entity.tokens.inc
--- b/core/modules/media_entity/media_entity.tokens.inc
+++ b/core/modules/media_entity/media_entity.tokens.inc
@@ -141,7 +141,7 @@
         // Default values for the chained tokens handled below.
         case 'author':
           /** @var \Drupal\user\UserInterface $account */
-          $account = $media->getPublisher();
+          $account = $media->getOwner();
           $bubbleable_metadata->addCacheableDependency($account);
           $replacements[$original] = $account->label();
           break;
diff -u b/core/modules/media_entity/src/Entity/Media.php b/core/modules/media_entity/src/Entity/Media.php
--- b/core/modules/media_entity/src/Entity/Media.php
+++ b/core/modules/media_entity/src/Entity/Media.php
@@ -109,7 +109,7 @@
    * {@inheritdoc}
    */
   public function getOwner() {
-    $this->get('uid')->entity;
+    return $this->get('uid')->entity;
   }
 
   /**
@@ -124,35 +124,13 @@
    * {@inheritdoc}
    */
   public function getOwnerId() {
-    $this->get('uid')->target_id;
-  }
-
-  /**
-   * {@inheritdoc}
-   */
-  public function setOwnerId($uid) {
-    $this->set('uid', $uid);
-    return $this;
-  }
-
-  /**
-   * {@inheritdoc}
-   */
-  public function getPublisher() {
-    return $this->get('uid')->entity;
-  }
-
-  /**
-   * {@inheritdoc}
-   */
-  public function getPublisherId() {
     return $this->get('uid')->target_id;
   }
 
   /**
    * {@inheritdoc}
    */
-  public function setPublisherId($uid) {
+  public function setOwnerId($uid) {
     $this->set('uid', $uid);
     return $this;
   }
diff -u b/core/modules/media_entity/src/MediaAccessController.php b/core/modules/media_entity/src/MediaAccessController.php
--- b/core/modules/media_entity/src/MediaAccessController.php
+++ b/core/modules/media_entity/src/MediaAccessController.php
@@ -20,10 +20,10 @@
       return AccessResult::allowed()->cachePerPermissions();
     }
 
-    $is_owner = ($account->id() && $account->id() == $entity->getPublisherId()) ? TRUE : FALSE;
+    $is_owner = ($account->id() && $account->id() == $entity->getOwnerId()) ? TRUE : FALSE;
     switch ($operation) {
       case 'view':
-        return AccessResult::allowedIf($account->hasPermission('view media') && $entity->status->value);
+        return AccessResult::allowedIf($account->hasPermission('view media') && $entity->status->value)->cachePerPermissions()->addCacheableDependency($entity);
 
       case 'update':
         return AccessResult::allowedIf(($account->hasPermission('update media') && $is_owner) || $account->hasPermission('update any media'))->cachePerPermissions()->cachePerUser()->addCacheableDependency($entity);
diff -u b/core/modules/media_entity/src/MediaForm.php b/core/modules/media_entity/src/MediaForm.php
--- b/core/modules/media_entity/src/MediaForm.php
+++ b/core/modules/media_entity/src/MediaForm.php
@@ -33,7 +33,7 @@
     // Set up default values, if required.
     if (!$this->entity->isNew()) {
       $this->entity->setRevisionLogMessage(NULL);
-      $this->entity->setPublisherId($this->currentUser()->id());
+      $this->entity->setOwnerId($this->currentUser()->id());
       $this->entity->setCreatedTime(\Drupal::time()->getRequestTime());
     }
   }
diff -u b/core/modules/media_entity/src/MediaInterface.php b/core/modules/media_entity/src/MediaInterface.php
--- b/core/modules/media_entity/src/MediaInterface.php
+++ b/core/modules/media_entity/src/MediaInterface.php
@@ -32,42 +32,6 @@
   public function setCreatedTime($timestamp);
 
   /**
-   * Returns the media publisher user entity.
-   *
-   * @return \Drupal\user\UserInterface
-   *   The author user entity.
-   *
-   * @deprecated in Drupal 8.3.0, will be removed before Drupal 9.0.0. Use
-   *   \Drupal\user\EntityOwnerInterface::getOwner() instead.
-   */
-  public function getPublisher();
-
-  /**
-   * Returns the media publisher user ID.
-   *
-   * @return int
-   *   The author user ID.
-   *
-   * @deprecated in Drupal 8.3.0, will be removed before Drupal 9.0.0. Use
-   *   \Drupal\user\EntityOwnerInterface::getOwnerId() instead.
-   */
-  public function getPublisherId();
-
-  /**
-   * Sets the media publisher user ID.
-   *
-   * @param int $uid
-   *   The author user id.
-   *
-   * @return \Drupal\media_entity\MediaInterface
-   *   The called media entity.
-   *
-   * @deprecated in Drupal 8.3.0, will be removed before Drupal 9.0.0. Use
-   *   \Drupal\user\EntityOwnerInterface::setOwnerId() instead.
-   */
-  public function setPublisherId($uid);
-
-  /**
    * Returns the media published status indicator.
    *
    * Unpublished media are only visible to their authors and to administrators.
diff -u b/core/modules/media_entity/tests/src/FunctionalJavascript/MediaViewsWizardTest.php b/core/modules/media_entity/tests/src/FunctionalJavascript/MediaViewsWizardTest.php
--- b/core/modules/media_entity/tests/src/FunctionalJavascript/MediaViewsWizardTest.php
+++ b/core/modules/media_entity/tests/src/FunctionalJavascript/MediaViewsWizardTest.php
@@ -25,7 +25,7 @@
     $view_id = strtolower($this->randomMachineName(16));
     $this->drupalGet('admin/structure/views/add');
     $page->fillField('label', $view_id);
-    $session->wait(2000);
+    $this->waitUntilVisible('.machine-name-value');
     $page->selectFieldOption('show[wizard_key]', 'media');
     $assert_session->assertWaitOnAjaxRequest();
     $page->checkField('page[create]');
@@ -59,7 +59,7 @@
     $view_id = strtolower($this->randomMachineName(16));
     $this->drupalGet('admin/structure/views/add');
     $page->fillField('label', $view_id);
-    $session->wait(2000);
+    $this->waitUntilVisible('.machine-name-value');
     $page->selectFieldOption('show[wizard_key]', 'media_revision');
     $assert_session->assertWaitOnAjaxRequest();
     $page->checkField('page[create]');