In mushrome, keep the state of the cursor locally.

ash/wm/native_cursor_manager_ash_mus.cc

Index: ash/wm/native_cursor_manager_ash_mus.cc
diff --git a/ash/wm/native_cursor_manager_ash_mus.cc b/ash/wm/native_cursor_manager_ash_mus.cc
index 279ae7e4ec87309a6ee7c1b644004c47ba4b3af2..b8ea0eaff86fef243a252b614973b5d87f3c32df 100644
--- a/ash/wm/native_cursor_manager_ash_mus.cc
+++ b/ash/wm/native_cursor_manager_ash_mus.cc
@@ -44,6 +44,11 @@ void SetCursorOnAllRootWindows(gfx::NativeCursor cursor) {
   // event targeting issue.
   ShellPort::Get()->SetGlobalOverrideCursor(mojo_cursor);
 
+  // Make sure the local state is set properly, so that local queries show that
+  // we set the cursor.
+  for (aura::Window* root : Shell::Get()->GetAllRootWindows())
+    root->GetHost()->SetCursor(cursor);
+
   Shell::Get()
       ->window_tree_host_manager()
       ->cursor_window_controller()