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

chrome/browser/ui/views/about_chrome_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 "chrome/browser/ui/views/about_chrome_view.h"
 
 #if defined(OS_WIN)
 #include <commdlg.h>
 #endif  // defined(OS_WIN)
 
@@ skipping 373 matching lines @@
 
   // Then the main_text_label.
   main_text_label_->SetBounds(kPanelHorizMargin,
                               copyright_label_->y() +
                                   copyright_label_->height(),
                               sz.width(),
                               main_text_label_height_);
 
   // Get the y-coordinate of our parent so we can position the text left of the
   // buttons at the bottom.
-  gfx::Rect parent_bounds = GetParent()->GetLocalBounds();
+  gfx::Rect parent_bounds = GetParent()->GetContentsBounds();
 
   sz = throbber_->GetPreferredSize();
   int throbber_topleft_x = kPanelHorizMargin;
   int throbber_topleft_y =
       parent_bounds.bottom() - sz.height() - views::kButtonVEdgeMargin - 3;
   throbber_->SetBounds(throbber_topleft_x, throbber_topleft_y,
                        sz.width(), sz.height());
 
   // This image is hidden (see ViewHierarchyChanged) and displayed on demand.
   sz = success_indicator_.GetPreferredSize();
@@ skipping 423 matching lines @@
   View* parent = GetParent();
   parent->Layout();
 
   // Check button may have appeared/disappeared. We cannot call this during
   // ViewHierarchyChanged because the |window()| pointer hasn't been set yet.
   if (window())
     GetDialogClientView()->UpdateDialogButtons();
 }
 
 #endif