You are correct that silver sulfide is dark, but the darkness of tarnished silver is caused by the sulfide and oxides of the small amount of copper in sterling. That is why it resists tarnish if you remove the copper or use fine silver ( 99.9% silver). Silver sulfide doesn't form easily at room temperature, but copper sulfide easily forms at that temperature.
A few of the new silver alloys are argentium, sterlium, sterlium plus, silvadium, elite. These are made with germanium, palladium, and/or other elements to replace the 7.5% copper...which greatly reduces the tarnish.
Silver sulfide is hard as well as black, which is why patination with livers of sulfur can make durable silver objects. Sterling silver filings are mixed with sulfur ( and usually lead and copper), then heated to make a black sulfide, which is ground up and put in recessed engraving/carving on metal jewelry and objects to create niello style jewelry and decorative ware ( particularly popular in Thailand).
Plain copper can be made to form a thick coating of copper sulfide that looks similar to shibuichi and shakudo. Soak in a strong livers of sulfur solution , rinse, buff with fine steel wool, re-soak, repeat until the surface is a shiny gray-black. I do this on most of my copper sword fittings.