Presumes that the surviving humans will not actively disrupt/destroy these automated industries. Which seems highly likely as they will want to scavenge them for anything of value or repurpose them for their own means.
There's lots of implicit assumptions or this would be a book, but remember that Musk has a rocket and wants to colonise Mars, and that Mars is so bad that it is currently 100% populated by robots.
For the billionaires without rockets, there's also a whole bunch of deserts conveniently filled with lots of silicon.
(Or as Mac(Format|World|User) put it sometime in the 90s when they were considering who might bail out Apple and suggested one of the middle east oil barrons, a "silly con").
There's lots of implicit assumptions or this would be a book, but remember that Musk has a rocket and wants to colonise Mars, and that Mars is so bad that it is currently 100% populated by robots.
For the billionaires without rockets, there's also a whole bunch of deserts conveniently filled with lots of silicon.
(Or as Mac(Format|World|User) put it sometime in the 90s when they were considering who might bail out Apple and suggested one of the middle east oil barrons, a "silly con").