Not a perfect argument, because we probably only know about the richest Sumerians because they could afford burial tombs and stone carvings to tell their stories. Likewise, the world will long remember Elon Musk and Warren Buffett because they have used their wealth to build monuments to themselves, metaphorically speaking of course. Rich people are always paying money to name shit after themselves, and in that way they get to live on and be remembered. Even gravestones vary in quality and longevity, and a pauper's grave is only marked by the flowers that grow there.
People who hoard wealth don't believe the adage that "no amount of money ever bought a minute of time." In fact, they probably know it isn't true. They pay to have someone do their laundry and their dishes. They pay for private jets to leave when they are ready and go directly where they want to go. A rich person doesn't wait for a bus that's running late, or a boss that has other priorities. A rich person has healthcare appointments and all the therapies and drugs that extend and improve the quality of their lives.
They buy time all the time. And the more you have at the end, the more valuable your end becomes. Then it's a competition to see who can impress you most and receive the largest bequest. Which of your children will change your diapers? Which of your charities will build the biggest monument to your name? What final experiences and celebrations and sights can distract you from your impending doom?
Oblivion severs all ties and eliminates all consequences. You can't take it with you, but why would you care? You aren't taking you with you. You is over, and there is no "with you" to take anything. The moment of death is the only moment when you can in fact have your cake and eat it, too, because that moment is the entirety of your life experience. It is everything, and the next moment is nothing. And your point total at the end can dramatically alter the quality of that eternal moment.