This cult stuff was tired in 2010 (hey, at least back then there was One True Leader!) and not any less tired now.
Most people among both ideologies have long believed in the arrival of a machine demigod of sorts, but I kind of am skeptical of the notion that there are any tech people who have not always held similar beliefs in the long run. Like, all the people reading this: you think in a thousand years from now humans are going to be doing most labor? Obviously far, far, far smarter machines will have unimaginably changed things by then, and/or we'll all be gone.
The difference is most people in tech have historically thought it's maybe a century or three away, while the rationalists think it's a decade or two away (and also thought it would be 2020s - 2040s even decades prior to now).
Ladies and gentlemen, I give you your totally-not-in-an-insular cult members.
A thousand years is a long time, and the world will be so different that it's hard to make any concrete predictions. But yes, if I had to wager, I'd bet that what humans conceive of as "labor" in 3026 will still be whatever difficult or annoying bits are done by humans.
In 1026 nearly all labor was agricultural labor. If you told a Roman peasant that magical self-driving contraptions could sow and reap the fields, he might wonder what could possibly be left for humans to do in such a world. And yet, here we are, and I still have to update JIRA tickets.
For my myself, I expect AI to prove a more transformative technology than Docker but less transformative than the sewing machine.
What you think won't happen in 1000 years is what I think is almost certainly happening within 40 years. I'd bet everything I own it'll be way, way, way more impactful than the sewing machine within 40 years. I think some bits of physical labor may still exist in 40 years, but almost none, and only when a human really wants to talk to or deal with a human, such as in some medical and therapeutic professions, some art fields, etc. (Again, assuming no universal outlawing of AI.)
Why do you think restaurants with waiters keep opening when the automat has existed since 1895? https://en.wikipedia.org/wiki/Quisisana
You are also probably unfamiliar with the history of the sewing machine and its impact on society. As AI has already poisoned search engines, here's an AI slop overview that hits some of the main points: https://sciencepedia.blog/sewing-machine-societal-importance
Yes, I think even in some crazy distant future utopia, humans will still often want to interact with humans for things, and even to pay them for some services. Tasks that include speaking one-on-one and producing works of art will always retain some value to people, even when AIs can one day trivially produce things which most humans find aesthetically superior to anything a human could ever produce alone. People will seek other things out of art beyond aesthetics, like expressions of human emotion.
Humans will enjoy and seek out human contact. This is not surprising. Just, for economy-impacting labor, I think it's almost all going to be machines, with very few humans playing any role. Even an oversight or accountability role. I think there's a 95% chance of it by 2100 and an 85% chance of it by 2066, conditional on no laws that forbid replacing jobs with AI.
You're making the "this time it's different" case that AI will be categorically different from every other form of labor-saving automation that's come before it. I work with these models every day and I'm not buying it.