Prioritization that promotes efficiency prevails! Keep in mind not to try and generalize these specific ideas. When it comes to hand-to-hand combat, impact is prioritized over push and pull. In addition the chain of defense, the concept of prioritizing chain of events, chain of possibilities of occurrences, the order in which attack can occur, from far to close etc.
Finally keep this advice in mind to never attempt to devise hand-to-hand fighting training system against inefficient attacks as you are devising a system full of loop-holes! Also keep in mind that a hand-to-hand combat training system devised against the most efficient forms of attack was already devised and its called Pure Krav Maga.
When using the chain of defense for self defense one must use the Pure Mrav Maga principles. One must prioritize striking soft pressure points or leveraging soft pressure points over the large articles. There is no such a thing of being too violent in self defense. You have one split second of a chance. Trying to control your opponent with grappling push and pull leverage and at the same time prevent him from reaching your soft pressure point is not possible most of the times. You need at least the initial distraction on the soft pressure points. If you go for a leg or hip throw and your opponent goes for a throat pluck in the same split second decision, you die!