This CL fixes the issue with login using alternative e-mails.

chrome/browser/resources/chromeos/login/login_common.js

 // 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.
 
 /**
  * @fileoverview Common OOBE controller methods.
  */
 
 <include src="test_util.js">
 <include src="../../../../../ui/login/screen.js">
@@ skipping 267 matching lines @@
   Oobe.skipToLoginForTesting = function() {
     Oobe.disableSigninUI();
     chrome.send('skipToLoginForTesting');
   };
 
   /**
    * Login for telemetry.
    * @param {string} username Login username.
    * @param {string} password Login password.
    */
-  Oobe.loginForTesting = function(username, password) {
+  Oobe.loginForTesting = function(username, password, gaia_id) {
     Oobe.disableSigninUI();
     chrome.send('skipToLoginForTesting', [username]);
-    chrome.send('completeLogin', ['12345', username, password, false]);
+    if (!gaia_id) {
+      /* TODO (alemate): Remove this backward compatibility hack when
+         as soon as all telemetry tests will pass gaia_id directly.
+      */
+      gaia_id = '12345';
+    }
+    chrome.send('completeLogin', [gaia_id, username, password, false]);
   };
 
   /**
    * Guest login for telemetry.
    */
   Oobe.guestLoginForTesting = function() {
     Oobe.skipToLoginForTesting();
     chrome.send('launchIncognito');
   };
 
@@ skipping 113 matching lines @@
     cr.ui.login.ResourceLoader.loadAssets(SCREEN_OOBE_ENROLLMENT, function() {
       // This screen is async-loaded so we manually trigger i18n processing.
       i18nTemplate.process($('oauth-enrollment'), loadTimeData);
       // Delayed binding since this isn't defined yet.
       login.OAuthEnrollmentScreen.register();
     });
 
     cr.ui.Oobe.initialize();
   });
 })();