The "make sense of what could be" might have been a good way to make people tempted to subscribe actually: it was so frustrating to identify a program you could be interested in and not be able to fully see it.
Those 'free viewing' (canal+ en clair) probably had one of the biggest impact on french comedy TV culture ever. Some shows of that era are still on AFAIK.
And french politics. French politics in the '90s and '00s wouldn't be the same without Les Guignols de l'Info.
Now if you tune to channel 4, you get the blurred image again...