It is quite obvious from the camera's shape. The camera leans towards the front-right side where is most of the weight (asume is due to the lenses) even with the LCD open.
When let standing on its base, if the LCD is closed it can't keep the balance, falling to the right. When opening the LCD it barely maintains, but I won't leave it as-is to even take a picture, so in short the response is "YES the CG is misplaced out of the center".
But... the Hague minicam seems to have adjustments to cope with that as most of the cams have a misplaced CG specially with the LCD open. Check http://www.vimeo.com/713207
for a short video showing how to balance the Hague thing. The base can be adjusted back and forth to compensate back-front balance while the balance weight can be moved left-right to compensate side balance.