I don't think being familiar with their societies inner workings would be a great idea. I think peaking behind the curtain and getting glimpses is far more effective. Dropping hints, and clues, red herrings, potential threads etc, is the far better way to go.
I agree. Seeing too much, especially in a single film, won't be as fun. I hope we never get a movie that takes place on their home planet where their sociological functions are established.
The biggest problem with establishing too much on film is that if it's done poorly and sucks, then it's too late. It's a done deal. Leaving us to imagine some of the motivations ourselves, allows everybody to input their own preferred ideas. Thus satisfying everybody. We already know the predators are a humanoid alien species with superior strength and technology. They arrive on space-ships and hunt humans for sport during times of conflict and in hot/humid environments. That's good enough for me.
This. And have been saying so since about 2003. Keep a mystery, leave it open, do not fill in all the gaps.