I think the title "Gothenburg metal" does exist.
You guys seem to be saying melodeath and melodic death are different genres. I think they are just 2 names for the same thing. However, I think there are at least 2 styles of Melodic Death (or Melodetah as some call it). One is Melodic Death metal (Death metal with melody, like Arsis, Arghoslent, Intestine Baalism, etc...) and the other is Gothenburg Melodic Death (like In Flames). I don't think these two styles should be differentiated with the ludicrously similar names "melodeath" and "melodic death."
My user name "Melodeath" refers to both styles of melodic death, not just the gothenburg style.