There is a complete and utter annihilation of a generation in a rolling 120 year window. That is, there is, to most anyone's knowledge, no human older than 120 years. We've lost every single person from generations that are older than 120 years ago. We call this "natural" but otherwise completely accept this death of billions.
Our children will propagate whatever it is to be human forward. If the next generation is completely digital/AI/made of silicon then, in my opinion, the most likely scenario is that they will propagate this essence of humanity forward, just like "natural" children would.
In other words, luddites view AI as an invading force whereas I see AI as our children that will propel humanity forward.
In terms of responding to your economic value zero point, I'd highlight that, under normal circumstances, in 120 years yours and mine economic value is exactly zero. The best we can ever hope for, in this scenario, is that we make some contribution that allows us to be remembered. The only hope for the essence of our personality or brain power to be preserved and still be functional in perpetuity is if it's copied into an "AI" or there are some spectacular advances in longevity science that would only be possible with AI.