I love sheen. And while I don't hate sheen on a black ink, usually if I want to use a black ink I want it to be black and to me the sheen distracts from that too much. That said, with some black inks they get a lot of character out of their sheen so they work nicely from a different perspective. I've included Noodler's Borealis on Rhodia above because it doesn't exhibit any sheen.

Bellow you can see how, on Rhodia even, Black Stone Battister Black, Noodler's X-Feather (surprisingly), Pelikan Fount India, and Sailor Kiwa Guro give of a silver sheen. Bookbinders Red-Belly Black, Diamine Quartz Black, and Kyo-no-oto Nureba-iro have a coppery sheen to them.