Avoid two targeting phases in aura client-lib and EventProcessor.

ui/aura/window_tree_host.cc

Index: ui/aura/window_tree_host.cc
diff --git a/ui/aura/window_tree_host.cc b/ui/aura/window_tree_host.cc
index 039ec6daecec959a69aafabba001c85f4b746c5a..fe32d02553f75d0093e26e008247f90aa37267ae 100644
--- a/ui/aura/window_tree_host.cc
+++ b/ui/aura/window_tree_host.cc
@@ -260,8 +260,10 @@ void WindowTreeHost::CreateCompositor(const cc::FrameSinkId& frame_sink_id) {
     window()->Init(ui::LAYER_NOT_DRAWN);
     window()->set_host(this);
     window()->SetName("RootWindow");
-    window()->SetEventTargeter(
-        std::unique_ptr<ui::EventTargeter>(new WindowTargeter()));
+    if (Env::GetInstance()->mode() == Env::Mode::LOCAL) {
+      window()->SetEventTargeter(
+          std::unique_ptr<ui::EventTargeter>(new WindowTargeter()));
+    }
     dispatcher_.reset(new WindowEventDispatcher(this));
   }
 }