No need to suppress ZoomBubble if !window_->IsActive().

chrome/browser/ui/zoom/zoom_controller_browsertest.cc

 // Copyright 2014 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.
 
 #include "components/ui/zoom/zoom_controller.h"
 
 #include "base/prefs/pref_service.h"
 #include "base/process/kill.h"
 #include "chrome/browser/profiles/profile.h"
 #include "chrome/browser/ui/browser.h"
@@ skipping 120 matching lines @@
   content::WebContents* web_contents =
       browser()->tab_strip_model()->GetActiveWebContents();
   double new_default_zoom_level = 1.0;
   // Since this page uses the default zoom level, the changes to the default
   // zoom level will change the zoom level for this web_contents.
   ZoomController::ZoomChangedEventData zoom_change_data(
       web_contents,
       new_default_zoom_level,
       new_default_zoom_level,
       ZoomController::ZOOM_MODE_DEFAULT,
-      true);
+      false);
   ZoomChangedWatcher zoom_change_watcher(web_contents, zoom_change_data);
   // TODO(wjmaclean): Convert this to call partition-specific zoom level prefs
   // when they become available.
   browser()->profile()->GetZoomLevelPrefs()->SetDefaultZoomLevelPref(
       new_default_zoom_level);
   // Because this test relies on a round-trip IPC to/from the renderer process,
   // we need to wait for it to propagate.
   zoom_change_watcher.Wait();
 }
 
@@ skipping 73 matching lines @@
       browser()->tab_strip_model()->GetActiveWebContents();
 
   double new_zoom_level = 1.0;
   // When the event is initiated from HostZoomMap, the old zoom level is not
   // available.
   ZoomController::ZoomChangedEventData zoom_change_data(
       web_contents,
       new_zoom_level,
       new_zoom_level,
       ZoomController::ZOOM_MODE_DEFAULT,
-      true);  // We have a non-empty host, so this will be 'true'.
+      false);  // The ZoomController did not initiate, so this will be 'false'.
   ZoomChangedWatcher zoom_change_watcher(web_contents, zoom_change_data);
 
   content::HostZoomMap* host_zoom_map =
       content::HostZoomMap::GetDefaultForBrowserContext(
           web_contents->GetBrowserContext());
 
   host_zoom_map->SetZoomLevelForHost("about:blank", new_zoom_level);
   zoom_change_watcher.Wait();
 }
 
@@ skipping 68 matching lines @@
       web_contents,
       old_zoom_level,
       new_zoom_level,
       ZoomController::ZOOM_MODE_DEFAULT,
       true);  // We have a non-empty host, so this will be 'true'.
   ZoomChangedWatcher zoom_change_watcher(web_contents, zoom_change_data);
   zoom_controller->SetZoomLevel(new_zoom_level);
   zoom_change_watcher.Wait();
 }
 #endif  // !defined(OS_CHROMEOS)