In the dark days before teletext, the BBC post-shutdown was not a haven of bad computer graphics and DIY store Jazz. Once the night's TV had ended, the national anthem would be played (this still happens on BBC2, occasionally), then the screen would go totally blank except for a white dot in the middle, and an incredibly annoying constant tone. This was apparently intended to wake up armchair sleepers and make them turn the TV off, which may otherwise overheat. The dot would remain in place until the breakfast news.

The white dot symbolised the end of television, at least for that night. This is probably why the above organisation have adopted the name. As for the organisation itself, I'd suggest that if you want freedom from TV, don't buy one, and let other people make their own choice.
Staring at the TV, about 3AM
Rik: Anyway, what does that white dot mean?
Neil: It means something really heavy. It means... there's no more telly. It's time to go to bed.
-- The Young Ones