### 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
class PrefRegistrySimple;
struct RegisterOptions;
namespace electron {
class InspectableWebContentsDelegate;
class InspectableWebContentsView;
class InspectableWebContents
    : public content::DevToolsAgentHostClient,
      public content::WebContentsObserver,
      public content::WebContentsDelegate,
      public DevToolsEmbedderMessageDispatcher::Delegate {
 public:
  using List = std::list<InspectableWebContents*>;
  static const List& GetAll();
  static void RegisterPrefs(PrefRegistrySimple* pref_registry);
  InspectableWebContents(std::unique_ptr<content::WebContents> web_contents,
                         PrefService* pref_service,
                         bool is_guest);
  ~InspectableWebContents() override;
  
  InspectableWebContents(const InspectableWebContents&) = delete;
  InspectableWebContents& operator=(const InspectableWebContents&) = delete;
  InspectableWebContentsView* GetView() const;
  content::WebContents* GetWebContents() const;
  content::WebContents* GetDevToolsWebContents() const;
  void SetDelegate(InspectableWebContentsDelegate* delegate);
  InspectableWebContentsDelegate* GetDelegate() const;
  bool IsGuest() const;
  void ReleaseWebContents();
  void SetDevToolsWebContents(content::WebContents* devtools);
  void SetDockState(const std::string& state);