Yes, original incoming keystrokes on a PC or Mac are never suppressed.
See this post for ideas on how to handle this situation.
You can run a project on both BomeBox and computer at the same time. You can use Remote Direct MIDI to gain access to the BomeBox MIDI port and also use the BomeBox MIDI port on your BomeBox with the project file running on BomeBox.
Steve Caldwell
Bome Customer Care
Also available for paid consulting services: bome@sniz.biz