No, it's an anarchy. Nobody rules, or everyone does, or it's rule by the loudest and most obnoxious nether orifice.
My usual practice: If others have already stored food in the shelter, I sleep elsewhere. Otherwise, I hang a bear bag. If others come in and start looking as if they're storing food in the shelter, offer: "I've already got my line in a tree, want me to hoist your food bag with mine so you don't have to heave your own line?" If they're just lazy, that solves the problem. If they answer, "No, I was planning on sleeping with my food," well, then, "I'm sorry, I hadn't been planning on sleeping with your food, so please excuse me while I go pitch a tent." No need either to tolerate stupidity or to be rude about it.
You know, that's also a pretty good way to avoid being awakened in the middle of the night by a lot of alcohol-scented guys stumbling out to puke. The guys who'll refuse to hang when someone else has done the work and the guys who will have a frat party in the shelter tend to be the same set.
I don't have a good answer for Harriman, where you aren't allowed to tent away from the shelters and they don't have bear boxes, poles, or cables. (Or privies, either. Harriman is great for day trips, but has numerous disadvantages for backpacking.)