They're explicitly looking for "Dark Matter", which doesn't "interact" with normal ("baryonic") matter or electromagnetic radiation (e.g. light). So it's not a black hole for sure, as those are composed of regular ol' matter.
RE:"dark star", that's really up in the air, I'd say! AFAICT the only academic reference to that term is for normal stars influenced by dark matter[1], but kinda the whole problem here is that we don't know much about what dark matter is composed of or into. Certainly it's not going to be a star in the traditional sense as it can't emit light, but I'm not aware of any reason this object can't end up being a giant sphere.
FWIW, Wikipedia says "One of the most massive stars known is Eta Carinae, with 100–200 [solar masses]", whereas this object "has a mass that is a million times greater than that of our Sun". If we're going to use metaphors, I think "dark dwarf galaxy" might be more appropriate?