He then outlines the mechanism for all of these progress-(non?-)deaths[1] to occur, which he calls superintelligence. I find that explanation as either the cause or solution to all these DPUs very unsatisfying compared to the historically supported causes of death on that scale: disease, natural disaster, famine, war. I may be the "stubborn old man" called out in the article, but I don't on the face of it believe superintelligence will eliminate most deaths in all four of those categories at the same time. It's positing a mechanism seemingly immune to the selection pressure that got us here.
But even if I put aside my doubts about superintelligence, I would find it significantly more helpful to see a hypothesis as to why increasing computational power is a general mechanism whereby there will be fewer deaths from disease, natural disasters, famine, and war. I suspect it is more fruitful to focus on how computational power will help solve problems with critical infrastructure (shelter, supply, safety, communication, transport, resource control, &c) rather that puzzling over how it may create a new cause of death exceeding the magnitude of disease.
1: The author seems to switch signs here and imply these will be non-deaths, which is supported by actual population growth, so let's proceed with that assumption.