It sounds like a fun challenge though I must say that I've heard not once, hikers describing a trail's total elevation gain as being such and such times "climbing Mt. Everest" (when trying to say that the total elevation was some multiple of 8848 meters). Even if you discount going back and forth between camps for carrying gear, the total elevation gain of climbing to an altitude of X meter will always be significantly larger than X (unless maybe you're climbing stairways).