Of course, capital is useful in order to exert influence now. Although I would suggest that for a noticeable impact on events, capital or power is needed, which are inaccessible to the vast majority of the population.
But can we end up in a world where the richest 1% or 0.1% will survive, and the rest will die? Unlikely. Even if property rights were respected, such a world would have to turn into a mad hell.
Even a world in which only people like Sam Altman and their entourage will survive the singularity seems more likely.
But the most likely options should be the extinction of all or the survival of almost all without a strong correlation with current well-being. Am I mistaken?
Then what is the probability of extinction caused by AI?