I'm on my third game ... so ok, the AI is not that great, but soon I'll probably be playing vs. multiple AIs. Anyway,
To me, the best defense is a good offense. Which is to say, I'm usually expanding pretty fast. With this kind of playing, it seems to me like the only use of Media/Broadcast buildings is that they slightly delay me from taking neutralized planets.
If Sins had more of a "dug in" feel to it, like say Civ 4, I can see Culture being more important. But for me, it's just an annoyance ... It's so fluid that one can simply grab a planet much easier than waiting to Culture it.
Now, if only my Media/Broadcast helped ME by increasing Allegiance when no one else was influencing me (which is how it usually is), then it'd be great. But they don't, AFAIK.
Honestly, I haven't played with Media/Broadcast much. Am I missing the point?