Can a Winforms UserControl merge its menus with those of its ActiveX container?

I am trying to migrate a VB6 UserControl to managed code. The original control has a set of standard menus (File, Help, etc) which are merged in to the menu bar of its container form (an ordinary VB6 form) at runtime.

The control is now rewritten in C#, and registered as an ActiveX control which can be dropped on a Visual Basic 6 form in the VB6 IDE. The next step is to populate the form's menu bar by merging in the UserControl's MenuStrip menus with the container's menubar.

Is this possible? Can an interop UserControl merge its menus into the menu bar of its container (as could be done with VB6 UserControls)?

I found this thread, but it uses a low-level approach.