Chris, it appears that the way you have designed the 2 DRR diagrams is spot on.
The rapid DRR diagram shows that any recovery processes are slower than the slow cycle DRR. Presumably this is because the slow cycle can respond to the disaster quicker with more effectiveness mitigating the impact because of all the prior pre-planning strategies in place. With a rapid onset disaster, although preparations are in place, the time taken to mobilise effectively would be slower due to possibly facing multiple challenges including poor access to the areas.
The challenge will always be in an areas/nation’s willingness/ability to prepare pre-disaster. Some countries may or may not have the facilities for DRR themselves but may be reluctant to ask for outside help to prepare. Likewise, other countries with the resources to prepare, may prepare inadequately. That’s why, if there were an international DRR plan, acceptable to all, were available, I’m sure there would be a better ability to prepare and respond.
A multinational or multi-regional approach to DRM preparation would be preferable with a greater capacity to prepare and act. The Pacific region certainly has taken this multi-national planning approach and seems to be able to reach areas quicker with better facilities available sooner than if left to one country only, eg the cooperation with the NZ vulcanologists with Tonga (?).