Disaster Dragon (in ALL forms) is a control Deck focusing on making your opponent waste resources and controlling the game speed.
Chaos (including Chaos Dragons) is aggressive, focusing on getting big Monsters on the field.
Hieratics are Hieratics. If the majority of Monsters have "Hieratic" in the name, and the general strategy of the Deck focuses on Hieratic Monsters, then it is a Hieratic Deck.
Focusing on Disaster Dragon, this is a copypasta of something I posted a few days ago. I believe these cards are what make a Disaster Deck. Without one or two of these, especially KMD, I don't think you can call it Disaster: