I did a search and found a number of earlier threads on this issue, including some that were initiated by Doc Deco, who is an expert.ArcticDiver:So, in sort of an Interim Summary:
-Nitrogen loading is one factor contributing to DCS.
-The wise diver will monitor nitrogen loading and plan dives to keep the loading within accepted limits.
-It really doesn't matter in what sequence dives are done; deep-shallow, shallow-deep, deep-deep, shallow-shallow, as long as nitrogen loading is accounted for in dive planning.
-Dive Planning doesn't begin and end with the dive sequence. It begins when the diver begins preparation for diving and ends when all effects of any dives have ceased to affect the diver.
-The diver should not forget other factors that affect the diver's health and wellbeing.
The consensus of those threads seems to agree with your summary.