Index: src/wp-admin/includes/class-wp-site-health-auto-updates.php
===================================================================
--- src/wp-admin/includes/class-wp-site-health-auto-updates.php	(revision 1199a99f73f73bbe33f1dc5d944d2a6200ebcf90)
+++ src/wp-admin/includes/class-wp-site-health-auto-updates.php	(date 1569068674614)
@@ -26,11 +26,10 @@
 	 */
 	public function run_tests() {
 		$tests = array(
-			$this->test_constants( 'DISALLOW_FILE_MODS', false ),
-			$this->test_constants( 'AUTOMATIC_UPDATER_DISABLED', false ),
 			$this->test_constants( 'WP_AUTO_UPDATE_CORE', true ),
 			$this->test_wp_version_check_attached(),
 			$this->test_filters_automatic_updater_disabled(),
+			$this->test_wp_automatic_updates_is_disabled(),
 			$this->test_if_failed_update(),
 			$this->test_vcs_abspath(),
 			$this->test_check_wp_filesystem_method(),
@@ -155,6 +154,23 @@
 			);
 		}
 	}
+
+	public function test_wp_automatic_updates_is_disabled() {
+		if ( ! class_exists( 'WP_Automatic_Updater' ) ) {
+			require_once( ABSPATH . 'wp-admin/includes/class-wp-automatic-updates.php' );
+		}
+
+		$auto_updatesa = new WP_Automatic_Updater();
+
+		if ( ! $auto_updatesa->is_disabled() ) {
+			return false;
+		}
+
+		return array(
+			'description' => __( 'All automatic updates are disabled.' ),
+			'severity'    => 'fail',
+		);
+	}
 
 	/**
 	 * Check if automatic updates have tried to run, but failed, previously.