No one pays anyone to play chess because it’s useful.
Chess players get paid because it’s entertaining for others to watch.
So your argument only shows that we can expect work as a form of entertainment to survive. Outside of YouTube, where programmers and musicians and such can make a living by streaming their work live, this is a minuscule minority.
The strongest interpretation of what you’re saying seems to be that we’ll end up in a world where everything (science, engineering, writing, design) is a sport and none of it really matters because ultimately it’s ‘just a game’. Maybe so… but is that really something to look forward to?
They get paid because the people who can't play chess professionally watch it as a mental escape from their drudgery jobs because it reminds them of their youth when they could still dream about becoming a great chess player, and then you can use marketing displayed during the chess tournament to trick them into preferring to spend the money they make from the drudgery on the adveritser's product.
Now upgrade AI to do every job better than humans so that there are no drudgery jobs. What money are they going to spend?
Not too long ago, people would come and visit the first family in the village who had installed running water, because it was a new and exciting thing to see. And yet people don't wake up every day excited to see water coming from their kitchen tap.
Think more broadly than that single example. Perhaps humans will always be interested in economic activity that involves interacting with other humans, regardless of what the robots can do.
Chess players get paid because it’s entertaining for others to watch.
So your argument only shows that we can expect work as a form of entertainment to survive. Outside of YouTube, where programmers and musicians and such can make a living by streaming their work live, this is a minuscule minority.
The strongest interpretation of what you’re saying seems to be that we’ll end up in a world where everything (science, engineering, writing, design) is a sport and none of it really matters because ultimately it’s ‘just a game’. Maybe so… but is that really something to look forward to?