How does Dark Matter interact with Black Holes?

Agree. I wonder, though, if you could find them by looking for unexpected gravitational lensing?

Those are very rare compared to one solar-mass stars. The nearest one is thousands of light years away. Nearby bright stars are much closer to the Sun’s mass. Bright A-type stars, for example Sirius, Altair, Vega, and Fomalhaut, are only about 2 solar masses.

That’s still less than 3% of the total mass of M87.

https://boards.straightdope.com/sdmb/showthread.php?t=850716&highlight=matter

This quote suggests that dark matter doesn’t fall into black holes very much:

(bold added)

That’s not quite right. It could also interact gravitationally with another object in such a way as to alter its orbit of the black hole such that its periapsis was inside the event horizon.

It is certainly a mystery just how supermassive black holes like the one in M87 (or, for that matter, even the one in our own Galaxy, at a “mere” few million solar masses) form. It could be from a whole bunch of stars falling in one at a time (or some other similar slow-but-steady process), or it could be from mergers of intermediate-mass black holes. Both hypotheses have problems, and to my knowledge, nobody has yet been able to come up with a model that produces holes that big in the lifespan of the Universe. This is one of the specific known-unknown questions that we hope to address with gravitational-wave data.

The mechanism of quasars is not well-understood, but one of the most likely mechanisms (the Blandford-Znajek process) does involve the interaction of the in-falling particles EM field with the black hole’s rotation and gravitation, such that the process is powered by the black hole’s rotational energy. Of course as DM does not interact electromagnetically it cannot contribute directly to this process and I believe for a similar process to occur for dark matter it would depend heavily on the nature of DM’s self-interaction.