Same in a world with a star trek replicator. Making the first steak dinner requires resources, making the next billion doesn't
Then again, I don't subscribe to the notion of capitalist realism. Aside from the exported violence used to impose and sustain it, the model is flimsy and constantly in crisis.
Even if we had fully-automated systems providing plentify food and water, we'd need some ssytem, likely capitalism, to distribute still-scarce luxuries (e.g. beachfront property)
And if we had total post-scarcity (effectively infinite energy and Star Trek style energy-to-matter replicators), we'd just be fighting over scarce land as everyone fills up all the space with replicated junk.
That said, removed from market forces, there a lot of ways to allocate housing, such as some form of segmented lottery or waitlist.
If you compare agriculture 1000 years ago with agriculture today, we're already in post scarcity. I suspect the game theoretic mechanisms will keep it going for awhile yet.
Yes, but our levels of productivity per-farmer would look like utter Sci-fi to a medieval peasant, if they had a notion of Sci-fi.
Also, by these standards, 1st world societies are fantasy lands, where the even the poor are fat, and have magical machines to keep food fresh, deliver music and entertainment, wash clothes and dishes. (Not all, but still.)
What we posit today as post-scarcity, will likely just move the goal posts for scarcity.
Yes, they can be copied infinitely for free, but we're only "post scarcity" if we never make anything else new.
With the advent of generative AI, we might just barely be starting to be post scarcity in a couple narrow fields.
On top of that, significant amounts of stuff are created out of an internal need, and would get created regardless.
One thing I'm sure about is that we're post-scarcity in historical items, and we're nowhere past capitalism there. Indeed, preservationists are hitting roadblocks all the time.
I'm not sure I'd say we're "post scarcity" for books and other digital goods though. Sure, we have all the books written until now, but I think there's an argument to be made that a huge part of the utility of books is that they are produced in near-real-time to discuss, address, and reflect thecurrent state of society. As our society grows and changes, books featuring the issues of the days will always be desired. This falls into the "trends" category you mentioned, but my point is more that I think it's larger than you described.
If you could just generate energy out of the ether and use it to materialise food and anything else you might want, for example, that would be post-scarcity.
While your definition might be elegant, it's too strict to foster a useful conversation.