No but it’s also not impossible to imagine the opposite. AI beat humans at chess decades ago but there are more humans generating income from chess today than there were before Deep Blue.
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?
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.