It appears to start. In your larger LCDs the BLU is 50% of the cost, is hard to make uniform, and takes multiple bulbs. If one bulb goes bad, the display is no good any more. To expensive to repair. Using a CNT, it doesn't have to be prefect for it to make a superior BLU and even if a pixel or a whole line in the CNT goes bad, it's not noticeable on the LCD. So the CNT makes for a better BLU than CCFL and is 50% cheaper.
Then as they get better at making CNT's they will eventually make them the display, doing away with the LCD altogether. So to get into production, they are going to start with smaller CNT's for none critical displays, and bigger ones in a use where they don't have to be prefect to iron out all the production bugs.