> impossible to build
Yet there are actual dust rings and discs in the sky surrounding stars for long periods without falling into the star, being blown out of the gravitational influence of the star, or condensing into planets on life-evolving timescales.
Some of them are pretty occlusive and get hot (~ 1000 degC) and are consequentially observational targets for MATISSE at the European Southern Observatory. It's not at all my field, but I gather https://theskylive.com/sky/stars/kappa-tucanae-star is a principal hot dust belt target.
Retreating towards my islands of comfort, there are plenty of small rocky bodies ( flavour of "dust" in the sense of the previous paragraphs) in the solar system that are in no immediate danger of colliding, plunging inwards, or escaping to infinity in spite of ablation from solar radiation, differential radiation pressure and other effects that lead to the term "active asteroid". Most of them will be there, and have been there, for billions of years despite evil Jupiter trying to mess them up. Speculating a little away from my weak-gravity island, I would be surprised if there were no ongoing organic chemistry reactions in the more icy carbonaceous active asteroids in our solar system. It's not a huge leap from that to an asteroid-based power station that slowly produces some alcohol(s) at much denser concentrations than the wood alcohol molecular clouds like in W3(OH) astrophysical alcohol megamaser region. [1]
Icy-carbonaceous bodies in closer orbit and with sufficient spin angular momentum (perhaps supported by the Yarkovsky effect) for cheap thermal management could in principle host terrestrial photoautotrophs suitable for processing into biodiesel. Impractical at small scale, but maybe useful if one has many billions of such "power plants" around a single star. And of course, one could use the photoautotrophs to feed microbes more suitable for the production of more complicated molecules like, oh I dunno, oxycodone (for fun and profit).
(A sufficiently dense dust belt in the goldilocks zone could even make use of ideas from the panspermia hypothesis, so that one only has to populate an initial fraction of the bodies with economically useful microbes, and the little bugs will reproduce and spread throughout.)
One can easily imagine greater efficiencies from engineering non-organism power collectors and storage systems instead of adapting blue-green algae to output biological compounds, and one would probably want to do this for a dust that is in bulk much hotter than the vast majority of our solar system's asteroids tend to get, or if practically the entirety of the dust is manufactured rather than already in place ready for populating with mats or colonies of economically useful microbes.
Returning to the paper at the top, I think the only advantage a black hole gives is that a sufficiently large one might have a much larger localised "goldilocks" volume which one might seed with small icy-carbonaceous body light-powered power plants, compared to having many such belts around many many stars. However density of production could be an important advantage, even if one has to move a swarm of objects to it rather than adapt a swarm of substrate objects already in place.
Super-concisely: Earth has a lot of oil, inefficiently, seemingly by accident, after a long delay from initial "activation" of the biosphere, and with a fairly high collection cost because it below so much atmosphere (and water and rock) through which it would have to be lifted for off-world use. Sufficiently advanced aliens (and perhaps future humans), if they wanted oil, undoubtedly could do better than Earth.
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[1] http://www.star.bris.ac.uk/mark/w3oh.html but don't inhale it, the W is for Wood alcohol (hydroxymethane).