It turns out I had the sense of the GetLocalBounds bool wrong everywhere, so ...

views/widget/root_view.cc

 // Copyright (c) 2011 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 "views/widget/root_view.h"
 
 #include <algorithm>
 
 #if defined(TOUCH_UI) && defined(HAVE_XINPUT2)
 #include <gdk/gdkx.h>
@@ skipping 225 matching lines @@
 }
 
 const gfx::Rect& RootView::GetScheduledPaintRect() {
   return invalid_rect_;
 }
 
 gfx::Rect RootView::GetScheduledPaintRectConstrainedToSize() {
   if (invalid_rect_.IsEmpty())
     return invalid_rect_;
 
-  return invalid_rect_.Intersect(GetContentsBounds());
+  return invalid_rect_.Intersect(GetLocalBounds());
 }
 
 /////////////////////////////////////////////////////////////////////////////
 //
 // RootView - tree
 //
 /////////////////////////////////////////////////////////////////////////////
 
 Widget* RootView::GetWidget() const {
   return widget_;
@@ skipping 550 matching lines @@
   if (!TouchFactory::GetInstance()->is_cursor_visible()) {
     cursor = gfx::GetCursor(GDK_BLANK_CURSOR);
   }
 #endif
 
   gdk_window_set_cursor(native_view->window, cursor);
 #endif
 }
 
 }  // namespace views