You still need to be rich to partake. Most business ventures will still require capital even in the age of super-intelligence. Super-intelligence will make labor worthless (or very cheap) it won't make property worthless.
> And when did "the rich" hoard anything for themselves only?! Usually I see them democratizing products and services so they are more accessible to everyone, not less.
There are plenty of examples of rich people hoarding their wealth. Countries with natural resources often have poor citizens because those citizens are not needed to extract that wealth. There is little reason why super-intelligence will not lead to a resource curse where the resource is human intelligence or even human labor.
> Computers in my pocket and on my wrist, TVs as big as a wall and thin like a book, electric cars, flights to anywhere I dream of traveling, investing with a few clicks on a website - all made possible to me by those evil and greedy rich in their race for riches. Thank you rich people!
Those rich people didn't share with you out of the goodness of their heart but because it was their best strategy to become even richer. But that's no longer the case when you can be replaced by super-intelligence.