Well, kind of yes, that depends what you means by saying "rich".

It's just that the whole system based on money is done/money is of no value anymore if AI takes ~95% jobs.

So what "being rich" becomes redefined, and that comes with a lots of various consequences.

It would basically mean "robot battles" over the land and technology, resulting in the annihilation of most of the mankind, if no proper regulations are introduced by the government.

And I'd suppose it might be in the best interest of the rich/government to introduce regulations that stops them from killing each other, which is basically how the world is set up right now (at least to a certain degree, as no system is perfect).