Didn't see the programme, but it is extremely hard to get video of a raster display.
CRTs are (usually) raster displays. LCD screens are (almost never) raster displays. The Chinook has non-raster LCD screens.
As for why they would be pixelate them for this TV program, while the LCD display itself is not "sensitive" the data displayed on them
may be. And it's far easier to just pixelate them for public viewing all the time rather than pixelate them only if and when sensitive data is displayed.