The dev tools process does not actually need Web UI bindings.

chrome/browser/devtools/devtools_window.cc

 // Copyright (c) 2012 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 <algorithm>
 
 #include "base/command_line.h"
 #include "base/json/json_writer.h"
 #include "base/lazy_instance.h"
 #include "base/string_number_conversions.h"
@@ skipping 175 matching lines @@
 
 
 DevToolsWindow* DevToolsWindow::Create(
     Profile* profile,
     RenderViewHost* inspected_rvh,
     DevToolsDockSide dock_side,
     bool shared_worker_frontend) {
   // Create WebContents with devtools.
   WebContents* web_contents =
       WebContents::Create(WebContents::CreateParams(profile));
-  web_contents->GetRenderViewHost()->AllowBindings(
-      content::BINDINGS_POLICY_WEB_UI);
   web_contents->GetController().LoadURL(
       GetDevToolsUrl(profile, dock_side, shared_worker_frontend),
       content::Referrer(),
       content::PAGE_TRANSITION_AUTO_TOPLEVEL,
       std::string());
   return new DevToolsWindow(web_contents, profile, inspected_rvh, dock_side);
 }
 
 DevToolsWindow::DevToolsWindow(WebContents* web_contents,
                                Profile* profile,
@@ skipping 765 matching lines @@
 
 // static
 DevToolsDockSide DevToolsWindow::SideFromString(
     const std::string& dock_side) {
   if (dock_side == kDockSideRight)
     return DEVTOOLS_DOCK_SIDE_RIGHT;
   if (dock_side == kDockSideBottom)
     return DEVTOOLS_DOCK_SIDE_BOTTOM;
   return DEVTOOLS_DOCK_SIDE_UNDOCKED;
 }