One might even go so far as to call it a black hole sun.

I’d love to see simulations of what the inside of such an object would look like. Is it dense all the way down to the black hole, or does it take just a little bit of falling hydrogen to create enough “solar wind” to hold the rest of the gas up like a hollow shell around it?

Isn’t that based on article where the authors clearly state that it was just a mathematical exercise, and requires dark matter densities that were ludicrous-to-impossible?

It’s something else. Same name, though.