Teen Gothic

This is a question that has plagued me for a while. I know that The Cure has said that they’re technically not goth, but I still find them on playlists all the time and I’ve talked to many goths that consider some of their earlier music to be goth. I feel like the Smiths has a very similar vibe to the Cure, a lot of their music is in the same genre of music so that makes sense lmao. Is there a history to the scene that differentiates the two? Anyways, thanks to anyone who can answer lol