If I am the last person on earth, i effectively "own" the entire earth, but it means nothing.
Same for a man staving to death on top of a mountain of gold.
Which makes this billionaire New Zealand apocalypse compound trend all the more ridiculous, if society collapses, being a billionaire is going to mean absolutely nothing, you would think the money would be better spent ensuring that doesn't happen in the first place
The ancient patrician families had trouble with going extinct. Their decline started long before the imperial period.
Later European kings had the same problem, sometimes just failing to produce any heir. It only takes a single generation and the family is gone.
If anything, I'd attribute family extinctions like this to monogamy. The two standard defenses against a failure of this type are (1) letting a man marry into the family by wedding a family daughter (as opposed to having the daughter marry out into the man's family); and (2) taking more than one wife, which offers dramatically greater opportunity to reproduce.
For the others in the series I've no idea. They've been on my reading list forever.
Would you want to be related to Trump if the economy tanked and social services started breaking down?