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

chrome/browser/ui/views/tabs/tab.cc

 // Copyright (c) 2010 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/tabs/tab.h"
 
 #include <limits>
 
 #include "base/utf_string_conversions.h"
 #include "chrome/browser/defaults.h"
@@ skipping 194 matching lines @@
   if (!close_button_color_ || title_color != close_button_color_) {
     close_button_color_ = title_color;
     ResourceBundle& rb = ResourceBundle::GetSharedInstance();
     close_button()->SetBackground(close_button_color_,
         rb.GetBitmapNamed(IDR_TAB_CLOSE),
         rb.GetBitmapNamed(IDR_TAB_CLOSE_MASK));
   }
 }
 
 void Tab::Layout() {
-  gfx::Rect lb = GetLocalBounds();
+  gfx::Rect lb = GetContentsBounds();
   if (lb.IsEmpty())
     return;
   lb.Inset(kLeftPadding, kTopPadding, kRightPadding, kBottomPadding);
 
   // The height of the content of the Tab is the largest of the favicon,
   // the title text and the close button graphic.
   int content_height = std::max(kFavIconSize, font_height());
   gfx::Size close_button_size(close_button()->GetPreferredSize());
   content_height = std::max(content_height, close_button_size.height());
 
@@ skipping 439 matching lines @@
   tab_active_.image_r = rb.GetBitmapNamed(IDR_TAB_ACTIVE_RIGHT);
   tab_active_.l_width = tab_active_.image_l->width();
   tab_active_.r_width = tab_active_.image_r->width();
 
   tab_inactive_.image_l = rb.GetBitmapNamed(IDR_TAB_INACTIVE_LEFT);
   tab_inactive_.image_c = rb.GetBitmapNamed(IDR_TAB_INACTIVE_CENTER);
   tab_inactive_.image_r = rb.GetBitmapNamed(IDR_TAB_INACTIVE_RIGHT);
   tab_inactive_.l_width = tab_inactive_.image_l->width();
   tab_inactive_.r_width = tab_inactive_.image_r->width();
 }