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?