Well, I guess you can make it works by not having an LCD ribbon but just free contact. You put the contact on the other side of the LCD, and then 2 different contant: one just bellow the keyboard, for the tablet position, and one inside the case for the open position (I assume the LCD will be at a fixed 100° position, with the slide going a bit inside the device to provide anchor for the screen to stay open). (I should do a drawing, but I suck at it so I wont).
Still a bit strange to have the screen disconect / reconnect when changing position, and probably very fragile also.