When the alpha kids were entering, why didn't Dream Dirk, Dream Jane and Dream Roxy sustain their injuries like Dream John and Dream Vriska were shown to have done when they were dying?

One could debate it’s because John and Vriska were on their questbed/cocoon and preparing the dreamself to die and ascend at the same time.

Or, it’s because the alpha kid krew had their corpses smooched making their dreamselves the main self.