### Preflight Checklist

- [X] I have read the [Contributing Guidelines](https://github.com/electron/electron/blob/main/CONTRIBUTING.md) for this project.
- [X] I agree to follow the [Code of Conduct](https://github.com/electron/electron/blob/main/CODE_OF_CONDUCT.md) that this project adheres to.
- [X] I have searched the [issue tracker](https://www.github.com/electron/electron/issues) for a bug report that matches the one I want to file, without success.

### Electron Version

19.0.0-nightly.20220209

### What operating system are you using?

Windows

### Operating System Version

10.0.19043 Build 19043

### What arch are you using?

x64

### Last Known Working Electron version

_No response_

### Expected Behavior

1. Open DevTools->Settings->Shortcuts
2. Change "Match shortcuts from preset" to "Visual Studio Code"
3. Close devtools and reopen
4. Shortcut setting remains last selected value

### Actual Behavior

1. Open DevTools->Settings->Shortcuts
2. Change "Match shortcuts from preset" to "Visual Studio Code"
3. Close devtools and reopen
4. Shortcut setting reverts to default

### Testcase Gist URL

_No response_

### Additional Information

Seems like it could be related to #31864
shell/browser/ui/inspectable_web_contents.h
void RecordPerformanceHistogram(const std::string& name,
                                  double duration) override {}
  void RecordUserMetricsAction(const std::string& name) override {}
  void ShowSurvey(DispatchCallback callback,
                  const std::string& trigger) override {}
  void CanShowSurvey(DispatchCallback callback,
                     const std::string& trigger) override {}
  
  void HandleMessageFromDevToolsFrontend(base::Value message);
  
  void DispatchProtocolMessage(content::DevToolsAgentHost* agent_host,
                               base::span<const uint8_t> message) override;
  void AgentHostClosed(content::DevToolsAgentHost* agent_host) override;
  
  void RenderFrameHostChanged(content::RenderFrameHost* old_host,
                              content::RenderFrameHost* new_host) override;
  void WebContentsDestroyed() override;
  void OnWebContentsFocused(
      content::RenderWidgetHost* render_widget_host) override;
  void ReadyToCommitNavigation(
      content::NavigationHandle* navigation_handle) override;
  void DidFinishNavigation(
      content::NavigationHandle* navigation_handle) override;
  
  bool HandleKeyboardEvent(content::WebContents*,
                           const content::NativeWebKeyboardEvent&) override;
  void CloseContents(content::WebContents* source) override;
  void RunFileChooser(content::RenderFrameHost* render_frame_host,
                      scoped_refptr<content::FileSelectListener> listener,
                      const blink::mojom::FileChooserParams& params) override;