It actually does!
The long strange history of the terms gothic/goth:
Back all the way to Roman times, the visigoths and the ostrogoths were two germanic tribes that fought with the Roman Empire for European territory. The goth tribes were damned by the Romans as barbarians.
Skip to the Renaissance, where the cultural elite believed that medieval archictecture was barbaric. They called this form of architecture gothic, and the term stuck.
Then, in the early 1800s, a style of highly melodramatic prose called "horrid novels" became popular. This prose usually involved virtuous ladies being abducted by a depraved, yet well-born villian to be eventually rescued by the dashing hero; or perhaps the said virtuous lady might find herself in a castle haunted by malevolent spirits and general weirdness, again to be be rescued. These novels were often set in crumbling medieval castles or churches that were barely more than a few gothic arches leading to the inevitable dungeons. This lead to the term "gothic novel" or "gothic romance" and the term gothic acquired its meaning of things dark, dangerous, convoluted and occult. Horrid novels led to both the modern genres of horror and gothic romance, and gothic romances were popular well into the 70s.
Finally, the tone and mood of "gothic" were picked up by the current goths - who often take on the trappings of the horror genre, even including the gothic arches from the medieval churches that the renaissance writers were so down on.