Star Trek isn't real life, when human labor stops being valuable the humans who's labor was previously vital will be at best left to rot in squalor.

A generation of people left behind. The birthrates will continue falling.

Couldn't have said it better myself. The only reason we are worth keeping around is because what we do is necessary to keep the machine running. The idea that the AI singularity would lead to infinite free stuff for everyone is ridiculous.